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56405603632 = 247343239023
BaseRepresentation
bin110100100010000010…
…010011010100110000
312101121000002112212211
4310202002103110300
51411004313304012
641525023501504
74034532502000
oct644202232460
9171530075784
1056405603632
1121a15546954
12ab22157894
13541bb8c831
142a31362000
151701deb6a7
hexd22093530

56405603632 has 80 divisors (see below), whose sum is σ = 130411494400. Its totient is φ = 23611549248.

The previous prime is 56405603587. The next prime is 56405603659. The reversal of 56405603632 is 23630650465.

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 15 ways as a sum of consecutive naturals, for example, 116473 + ... + 355495.

It is an arithmetic number, because the mean of its divisors is an integer number (1630143680).

Almost surely, 256405603632 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 56405603632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65205747200).

56405603632 is an abundant number, since it is smaller than the sum of its proper divisors (74005890768).

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

56405603632 is a wasteful number, since it uses less digits than its factorization.

56405603632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 239095 (or 239075 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 40.

The spelling of 56405603632 in words is "fifty-six billion, four hundred five million, six hundred three thousand, six hundred thirty-two".

Divisors: 1 2 4 7 8 14 16 28 43 49 56 86 98 112 172 196 301 343 344 392 602 686 688 784 1204 1372 2107 2408 2744 4214 4816 5488 8428 14749 16856 29498 33712 58996 117992 235984 239023 478046 956092 1673161 1912184 3346322 3824368 6692644 10277989 11712127 13385288 20555978 23424254 26770576 41111956 46848508 71945923 81984889 82223912 93697016 143891846 163969778 164447824 187394032 287783692 327939556 503621461 575567384 655879112 1007242922 1151134768 1311758224 2014485844 3525350227 4028971688 7050700454 8057943376 14101400908 28202801816 56405603632