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57364829856 = 253422131493
BaseRepresentation
bin110101011011001101…
…011101011010100000
312111001212001021220000
4311123031131122200
51414440344023411
642204131220000
74100361002625
oct653315353240
9174055037800
1057364829856
1122367a507a4
12b14b447600
135542821c09
142ac28d834c
15175b226956
hexd5b35d6a0

57364829856 has 60 divisors (see below), whose sum is σ = 168708378762. Its totient is φ = 19121609088.

The previous prime is 57364829813. The next prime is 57364829861. The reversal of 57364829856 is 65892846375.

It is a happy number.

57364829856 is a `hidden beast` number, since 5 + 73 + 6 + 482 + 9 + 85 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 52340288400 + 5024541456 = 228780^2 + 70884^2 .

It is a junction number, because it is equal to n+sod(n) for n = 57364829793 and 57364829802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 11063155 + ... + 11068338.

Almost surely, 257364829856 is an apocalyptic number.

It is an amenable number.

57364829856 is an abundant number, since it is smaller than the sum of its proper divisors (111343548906).

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

57364829856 is a wasteful number, since it uses less digits than its factorization.

57364829856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22131515 (or 22131498 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 57364829856 in words is "fifty-seven billion, three hundred sixty-four million, eight hundred twenty-nine thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 72 81 96 108 144 162 216 288 324 432 648 864 1296 2592 22131493 44262986 66394479 88525972 132788958 177051944 199183437 265577916 354103888 398366874 531155832 597550311 708207776 796733748 1062311664 1195100622 1593467496 1792650933 2124623328 2390201244 3186934992 3585301866 4780402488 6373869984 7170603732 9560804976 14341207464 19121609952 28682414928 57364829856