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86980165776 = 24327235112
BaseRepresentation
bin101000100000001101…
…1000000000010010000
322022111210112020100100
41101000123000002100
52411113410301101
6103542542452400
76166310132100
oct1210033000220
9268453466310
1086980165776
1133985043a29
1214a35594100
1382822b4c1a
1442d1c11200
1523e11bae86
hex14406c0090

86980165776 has 135 divisors (see below), whose sum is σ = 283246970643. Its totient is φ = 24844397760.

The previous prime is 86980165739. The next prime is 86980165781. The reversal of 86980165776 is 67756108968.

The square root of 86980165776 is 294924.

It is a perfect power (a square), and thus also a powerful number.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24771861 + ... + 24775371.

Almost surely, 286980165776 is an apocalyptic number.

86980165776 is the 294924-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86980165776

86980165776 is an abundant number, since it is smaller than the sum of its proper divisors (196266804867).

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

86980165776 is an equidigital number, since it uses as much as digits as its factorization.

86980165776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7050 (or 3523 counting only the distinct ones).

The product of its (nonzero) digits is 30481920, while the sum is 63.

The spelling of 86980165776 in words is "eighty-six billion, nine hundred eighty million, one hundred sixty-five thousand, seven hundred seventy-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 49 56 63 72 84 98 112 126 144 147 168 196 252 294 336 392 441 504 588 784 882 1008 1176 1764 2352 3511 3528 7022 7056 10533 14044 21066 24577 28088 31599 42132 49154 56176 63198 73731 84264 98308 126396 147462 168528 172039 196616 221193 252792 294924 344078 393232 442386 505584 516117 589848 688156 884772 1032234 1179696 1376312 1548351 1769544 2064468 2752624 3096702 3539088 4128936 6193404 8257872 12327121 12386808 24654242 24773616 36981363 49308484 73962726 86289847 98616968 110944089 147925452 172579694 197233936 221888178 258869541 295850904 345159388 443776356 517739082 591701808 604028929 690318776 776608623 887552712 1035478164 1208057858 1380637552 1553217246 1775105424 1812086787 2070956328 2416115716 3106434492 3624173574 4141912656 4832231432 5436260361 6212868984 7248347148 9664462864 10872520722 12425737968 14496694296 21745041444 28993388592 43490082888 86980165776