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20042617458360 = 23357226710525037
BaseRepresentation
bin1001000111010100010010…
…00110000000111010111000
32121222001111110201201000110
410203222021012000322320
510111334240032131420
6110343241254104320
74136013513315420
oct443521106007270
977861443651013
1020042617458360
116428032055302
1222b848804b0a0
13b2501a70c813
144d40d42d3480
1524b54b54aee0
hex123a89180eb8

20042617458360 has 128 divisors (see below), whose sum is σ = 68747864209920. Its totient is φ = 4579148462592.

The previous prime is 20042617458341. The next prime is 20042617458361. The reversal of 20042617458360 is 6385471624002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20042617458361) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3358239 + ... + 7166798.

It is an arithmetic number, because the mean of its divisors is an integer number (537092689140).

Almost surely, 220042617458360 is an apocalyptic number.

20042617458360 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20042617458360 is an abundant number, since it is smaller than the sum of its proper divisors (48705246751560).

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

20042617458360 is a wasteful number, since it uses less digits than its factorization.

20042617458360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10527325 (or 10527321 counting only the distinct ones).

The product of its (nonzero) digits is 1935360, while the sum is 48.

The spelling of 20042617458360 in words is "twenty trillion, forty-two billion, six hundred seventeen million, four hundred fifty-eight thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 84 105 120 140 168 210 280 420 840 2267 4534 6801 9068 11335 13602 15869 18136 22670 27204 31738 34005 45340 47607 54408 63476 68010 79345 90680 95214 126952 136020 158690 190428 238035 272040 317380 380856 476070 634760 952140 1904280 10525037 21050074 31575111 42100148 52625185 63150222 73675259 84200296 105250370 126300444 147350518 157875555 210500740 221025777 252600888 294701036 315751110 368376295 421001480 442051554 589402072 631502220 736752590 884103108 1105128885 1263004440 1473505180 1768206216 2210257770 2947010360 4420515540 8841031080 23860258879 47720517758 71580776637 95441035516 119301294395 143161553274 167021812153 190882071032 238602588790 286323106548 334043624306 357903883185 477205177580 501065436459 572646213096 668087248612 715807766370 835109060765 954410355160 1002130872918 1336174497224 1431615532740 1670218121530 2004261745836 2505327182295 2863231065480 3340436243060 4008523491672 5010654364590 6680872486120 10021308729180 20042617458360