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20187331495560 = 2334521612883229
BaseRepresentation
bin1001001011100001110101…
…01110010000011010001000
32122110220000211201111010000
410211300322232100122020
510121222123330324220
6110533533154123000
74152325615325415
oct445607256203210
978426024644100
1020187331495560
11648344338a359
122320534580460
13b35870b08928
144db101a2510c
152501bb039390
hex125c3ab90688

20187331495560 has 160 divisors (see below), whose sum is σ = 67883286101400. Its totient is φ = 5380795422720.

The previous prime is 20187331495559. The next prime is 20187331495633. The reversal of 20187331495560 is 6559413378102.

It is a happy number.

20187331495560 is a `hidden beast` number, since 2 + 0 + 1 + 8 + 7 + 3 + 31 + 49 + 5 + 560 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 20185413581124 + 1917914436 = 4492818^2 + 43794^2 .

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 20187331495497 and 20187331495506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 5560026 + ... + 8443254.

It is a 1-persistent number, because it is pandigital, but 2⋅20187331495560 = 40374662991120 is not.

Almost surely, 220187331495560 is an apocalyptic number.

20187331495560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20187331495560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33941643050700).

20187331495560 is an abundant number, since it is smaller than the sum of its proper divisors (47695954605840).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

20187331495560 is a wasteful number, since it uses less digits than its factorization.

20187331495560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2885413 (or 2885400 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 20187331495560 in words is "twenty trillion, one hundred eighty-seven billion, three hundred thirty-one million, four hundred ninety-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 81 90 108 120 135 162 180 216 270 324 360 405 540 648 810 1080 1620 2161 3240 4322 6483 8644 10805 12966 17288 19449 21610 25932 32415 38898 43220 51864 58347 64830 77796 86440 97245 116694 129660 155592 175041 194490 233388 259320 291735 350082 388980 466776 583470 700164 777960 875205 1166940 1400328 1750410 2333880 2883229 3500820 5766458 7001640 8649687 11532916 14416145 17299374 23065832 25949061 28832290 34598748 43248435 51898122 57664580 69197496 77847183 86496870 103796244 115329160 129745305 155694366 172993740 207592488 233541549 259490610 311388732 345987480 389235915 467083098 518981220 622777464 778471830 934166196 1037962440 1167707745 1556943660 1868332392 2335415490 3113887320 4670830980 6230657869 9341661960 12461315738 18691973607 24922631476 31153289345 37383947214 49845262952 56075920821 62306578690 74767894428 93459868035 112151841642 124613157380 149535788856 168227762463 186919736070 224303683284 249226314760 280379604105 336455524926 373839472140 448607366568 504683287389 560759208210 672911049852 747678944280 841138812315 1009366574778 1121518416420 1345822099704 1682277624630 2018733149556 2243036832840 2523416436945 3364555249260 4037466299112 5046832873890 6729110498520 10093665747780 20187331495560