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20508657360 = 2435433176269
BaseRepresentation
bin10011000110011010…
…010100011011010000
31221221021122201222020
4103012122110123100
5314000204013420
613231015411440
71324136465652
oct230632243320
957837581866
1020508657360
118774669904
123b84383b80
131c1aba1419
14dc7a926d2
15800744340
hex4c66946d0

20508657360 has 160 divisors (see below), whose sum is σ = 65271000960. Its totient is φ = 5324089344.

The previous prime is 20508657269. The next prime is 20508657419. The reversal of 20508657360 is 6375680502.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3268306 + ... + 3274574.

It is an arithmetic number, because the mean of its divisors is an integer number (407943756).

Almost surely, 220508657360 is an apocalyptic number.

20508657360 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 20508657360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32635500480).

20508657360 is an abundant number, since it is smaller than the sum of its proper divisors (44762343600).

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

20508657360 is a wasteful number, since it uses less digits than its factorization.

20508657360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6645 (or 6639 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 20508657360 in words is "twenty billion, five hundred eight million, six hundred fifty-seven thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 43 48 60 80 86 120 129 172 215 240 258 317 344 430 516 634 645 688 860 951 1032 1268 1290 1585 1720 1902 2064 2536 2580 3170 3440 3804 4755 5072 5160 6269 6340 7608 9510 10320 12538 12680 13631 15216 18807 19020 25076 25360 27262 31345 37614 38040 40893 50152 54524 62690 68155 75228 76080 81786 94035 100304 109048 125380 136310 150456 163572 188070 204465 218096 250760 269567 272620 300912 327144 376140 408930 501520 539134 545240 654288 752280 808701 817860 1078268 1090480 1347835 1504560 1617402 1635720 1987273 2156536 2695670 3234804 3271440 3974546 4043505 4313072 5391340 5961819 6469608 7949092 8087010 9936365 10782680 11923638 12939216 15898184 16174020 19872730 21565360 23847276 29809095 31796368 32348040 39745460 47694552 59618190 64696080 79490920 85452739 95389104 119236380 158981840 170905478 238472760 256358217 341810956 427263695 476945520 512716434 683621912 854527390 1025432868 1281791085 1367243824 1709054780 2050865736 2563582170 3418109560 4101731472 5127164340 6836219120 10254328680 20508657360