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102815139904 = 2614922692
BaseRepresentation
bin101111111000001000…
…0101000100001000000
3100211101100211021012121
41133300100220201000
53141031133434104
6115122125134024
710266566161321
oct1376020504100
9324340737177
10102815139904
113a670514404
1217b146ba314
139906b0abb9
144d94ca6448
152a1b465254
hex17f0428840

102815139904 has 63 divisors (see below), whose sum is σ = 206168686087. Its totient is φ = 50872729088.

The previous prime is 102815139887. The next prime is 102815139913. The reversal of 102815139904 is 409931518201.

The square root of 102815139904 is 320648.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69194250304 + 33620889600 = 263048^2 + 183360^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 382212282 + ... + 382212550.

Almost surely, 2102815139904 is an apocalyptic number.

102815139904 is the 320648-th square number.

It is an amenable number.

102815139904 is an abundant number, since it is smaller than the sum of its proper divisors (103353546183).

102815139904 is an frugal number, since it uses more digits than its factorization.

102815139904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 848 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 43.

The spelling of 102815139904 in words is "one hundred two billion, eight hundred fifteen million, one hundred thirty-nine thousand, nine hundred four".

Divisors: 1 2 4 8 16 32 64 149 269 298 538 596 1076 1192 2152 2384 4304 4768 8608 9536 17216 22201 40081 44402 72361 80162 88804 144722 160324 177608 289444 320648 355216 578888 641296 710432 1157776 1282592 1420864 2315552 2565184 4631104 5972069 10781789 11944138 21563578 23888276 43127156 47776552 86254312 95553104 172508624 191106208 345017248 382212416 690034496 1606486561 3212973122 6425946244 12851892488 25703784976 51407569952 102815139904