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56953262646 = 2337424135527
BaseRepresentation
bin110101000010101011…
…011101001000110110
312110000011121111211000
4311002223131020312
51413120013401041
642055230024130
74054232513340
oct650253351066
9173004544730
1056953262646
11221766a5205
12b055648046
1354a8490617
142a83da2290
15173502abb6
hexd42add236

56953262646 has 64 divisors (see below), whose sum is σ = 144681384960. Its totient is φ = 16268065920.

The previous prime is 56953262629. The next prime is 56953262669. The reversal of 56953262646 is 64626235965.

56953262646 is a `hidden beast` number, since 5 + 6 + 9 + 5 + 3 + 2 + 626 + 4 + 6 = 666.

56953262646 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 56953262592 and 56953262601.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1585335 + ... + 1620861.

It is an arithmetic number, because the mean of its divisors is an integer number (2260646640).

Almost surely, 256953262646 is an apocalyptic number.

56953262646 is an abundant number, since it is smaller than the sum of its proper divisors (87728122314).

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

56953262646 is a wasteful number, since it uses less digits than its factorization.

56953262646 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39786 (or 39780 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 54.

The spelling of 56953262646 in words is "fifty-six billion, nine hundred fifty-three million, two hundred sixty-two thousand, six hundred forty-six".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 126 189 378 4241 8482 12723 25446 29687 35527 38169 59374 71054 76338 89061 106581 114507 178122 213162 229014 248689 267183 319743 497378 534366 639486 746067 801549 959229 1492134 1603098 1918458 2238201 4476402 6714603 13429206 150670007 301340014 452010021 904020042 1054690049 1356030063 2109380098 2712060126 3164070147 4068090189 6328140294 8136180378 9492210441 18984420882 28476631323 56953262646