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115604529664 = 291361284729
BaseRepresentation
bin110101110101010010…
…0010010001000000000
3102001101200022120201211
41223222210102020000
53343224224422124
6125035154135504
711231534201041
oct1535244221000
9361350276654
10115604529664
114503381a208
121a4a3881594
13ab9467c050
14584968a8c8
153019163e94
hex1aea912200

115604529664 has 80 divisors (see below), whose sum is σ = 252829989720. Its totient is φ = 52481064960.

The previous prime is 115604529643. The next prime is 115604529739. The reversal of 115604529664 is 466925406511.

It can be written as a sum of positive squares in 4 ways, for example, as 20118585600 + 95485944064 = 141840^2 + 309008^2 .

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 7 ways as a sum of consecutive naturals, for example, 263652 + ... + 548380.

Almost surely, 2115604529664 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 115604529664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126414994860).

115604529664 is an abundant number, since it is smaller than the sum of its proper divisors (137225460056).

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

115604529664 is an equidigital number, since it uses as much as digits as its factorization.

115604529664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 284821 (or 284805 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 49.

The spelling of 115604529664 in words is "one hundred fifteen billion, six hundred four million, five hundred twenty-nine thousand, six hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 61 64 104 122 128 208 244 256 416 488 512 793 832 976 1586 1664 1952 3172 3328 3904 6344 6656 7808 12688 15616 25376 31232 50752 101504 203008 284729 406016 569458 1138916 2277832 3701477 4555664 7402954 9111328 14805908 17368469 18222656 29611816 34736938 36445312 59223632 69473876 72890624 118447264 138947752 145781248 225790097 236894528 277895504 451580194 473789056 555791008 903160388 947578112 1111582016 1806320776 1895156224 2223164032 3612641552 4446328064 7225283104 8892656128 14450566208 28901132416 57802264832 115604529664