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87732566272 = 2813191977043
BaseRepresentation
bin101000110110101000…
…1001011100100000000
322101110020022010210101
41101231101023210000
52414134014110042
6104145341212144
76224044336411
oct1215521134400
9271406263711
1087732566272
113423082361a
1215005561054
138372140210
144363b09808
15243728e6b7
hex146d44b900

87732566272 has 144 divisors (see below), whose sum is σ = 199555392960. Its totient is φ = 38160654336.

The previous prime is 87732566231. The next prime is 87732566287. The reversal of 87732566272 is 27266523778.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12453183 + ... + 12460225.

It is an arithmetic number, because the mean of its divisors is an integer number (1385801340).

Almost surely, 287732566272 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87732566272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99777696480).

87732566272 is an abundant number, since it is smaller than the sum of its proper divisors (111822826688).

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

87732566272 is a wasteful number, since it uses less digits than its factorization.

87732566272 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7288 (or 7274 counting only the distinct ones).

The product of its digits is 11854080, while the sum is 55.

The spelling of 87732566272 in words is "eighty-seven billion, seven hundred thirty-two million, five hundred sixty-six thousand, two hundred seventy-two".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 128 152 197 208 247 256 304 394 416 494 608 788 832 988 1216 1576 1664 1976 2432 2561 3152 3328 3743 3952 4864 5122 6304 7043 7486 7904 10244 12608 14086 14972 15808 20488 25216 28172 29944 31616 40976 48659 50432 56344 59888 63232 81952 91559 97318 112688 119776 133817 163904 183118 194636 225376 239552 267634 327808 366236 389272 450752 479104 535268 655616 732472 778544 901504 958208 1070536 1387471 1464944 1557088 1739621 1803008 2141072 2774942 2929888 3114176 3479242 4282144 5549884 5859776 6228352 6958484 8564288 11099768 11719552 12456704 13916968 17128576 18037123 22199536 23439104 26361949 27833936 34257152 36074246 44399072 52723898 55667872 72148492 88798144 105447796 111335744 144296984 177596288 210895592 222671488 288593968 342705337 355192576 421791184 445342976 577187936 685410674 843582368 1154375872 1370821348 1687164736 2308751744 2741642696 3374329472 4617503488 5483285392 6748658944 10966570784 21933141568 43866283136 87732566272