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56631701424 = 2432322817937
BaseRepresentation
bin110100101111100000…
…110010111110110000
312102011202112111202010
4310233200302332300
51411440203421144
642003301522520
74043246343144
oct645740627660
9172152474663
1056631701424
1122021134531
12ab85a13440
1354569838cc
142a533b9224
151716bad5b9
hexd2f832fb0

56631701424 has 120 divisors (see below), whose sum is σ = 153499519152. Its totient is φ = 17989959680.

The previous prime is 56631701419. The next prime is 56631701453. The reversal of 56631701424 is 42410713665.

It is a happy number.

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 23 ways as a sum of consecutive naturals, for example, 7131184 + ... + 7139120.

Almost surely, 256631701424 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 56631701424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (76749759576).

56631701424 is an abundant number, since it is smaller than the sum of its proper divisors (96867817728).

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

56631701424 is a wasteful number, since it uses less digits than its factorization.

56631701424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8275 (or 8246 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 56631701424 in words is "fifty-six billion, six hundred thirty-one million, seven hundred one thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 23 24 46 48 69 92 138 184 276 281 368 529 552 562 843 1058 1104 1124 1587 1686 2116 2248 3174 3372 4232 4496 6348 6463 6744 7937 8464 12696 12926 13488 15874 19389 23811 25392 25852 31748 38778 47622 51704 63496 77556 95244 103408 126992 148649 155112 182551 190488 297298 310224 365102 380976 445947 547653 594596 730204 891894 1095306 1189192 1460408 1783788 2190612 2230297 2378384 2920816 3567576 4198673 4381224 4460594 6690891 7135152 8397346 8762448 8921188 12596019 13381782 16794692 17842376 25192038 26763564 33589384 35684752 50384076 51296831 53527128 67178768 100768152 102593662 107054256 153890493 201536304 205187324 307780986 410374648 615561972 820749296 1179827113 1231123944 2359654226 2462247888 3539481339 4719308452 7078962678 9438616904 14157925356 18877233808 28315850712 56631701424