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87112341904 = 24728321272
BaseRepresentation
bin101000100100001001…
…1001101100110010000
322022212000020110220111
41101020103031212100
52411401224420104
6104004023451104
76202503455200
oct1211023154620
9268760213814
1087112341904
1133a427118a5
1214a718b6a94
1382a37b3053
1443055ba400
1523ecac9404
hex14484cd990

87112341904 has 135 divisors (see below), whose sum is σ = 200307227787. Its totient is φ = 36593629632.

The previous prime is 87112341721. The next prime is 87112341949. The reversal of 87112341904 is 40914321178.

The square root of 87112341904 is 295148.

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

It is a super-2 number, since 2×871123419042 (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

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, 685923889 + ... + 685924015.

Almost surely, 287112341904 is an apocalyptic number.

87112341904 is the 295148-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 87112341904

87112341904 is an abundant number, since it is smaller than the sum of its proper divisors (113194885883).

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

87112341904 is an equidigital number, since it uses as much as digits as its factorization.

87112341904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 442 (or 219 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 40.

The spelling of 87112341904 in words is "eighty-seven billion, one hundred twelve million, three hundred forty-one thousand, nine hundred four".

Divisors: 1 2 4 7 8 14 16 28 49 56 83 98 112 127 166 196 254 332 392 508 581 664 784 889 1016 1162 1328 1778 2032 2324 3556 4067 4648 6223 6889 7112 8134 9296 10541 12446 13778 14224 16129 16268 21082 24892 27556 32258 32536 42164 48223 49784 55112 64516 65072 73787 84328 96446 99568 110224 112903 129032 147574 168656 192892 225806 258064 295148 337561 385784 451612 516509 590296 675122 771568 790321 874903 903224 1033018 1180592 1338707 1350244 1580642 1749806 1806448 2066036 2677414 2700488 3161284 3499612 4132072 5354828 5400976 6124321 6322568 6999224 8264144 9370949 10709656 12248642 12645136 13998448 18741898 21419312 24497284 37483796 42870247 48994568 65596643 74967592 85740494 97989136 111112681 131193286 149935184 171480988 222225362 262386572 342961976 444450724 524773144 685923952 777788767 888901448 1049546288 1555577534 1777802896 3111155068 5444521369 6222310136 10889042738 12444620272 21778085476 43556170952 87112341904