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56568052224 = 293213219293
BaseRepresentation
bin110100101011101101…
…111111101000000000
312102000022202210110100
4310223231333220000
51411322410132344
641553105402400
74041544340025
oct645355775000
9172008683410
1056568052224
1121a99210992
12ab68639400
135446729968
142a48b6b54c
1517112d9569
hexd2bb7fa00

56568052224 has 120 divisors (see below), whose sum is σ = 163400397732. Its totient is φ = 18839715840.

The previous prime is 56568052223. The next prime is 56568052241. The reversal of 56568052224 is 42225086565.

It is a happy number.

56568052224 is a `hidden beast` number, since 5 + 65 + 68 + 0 + 522 + 2 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 56567865600 + 186624 = 237840^2 + 432^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 56568052224.

It is not an unprimeable number, because it can be changed into a prime (56568052223) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 6082522 + ... + 6091814.

Almost surely, 256568052224 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 56568052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (81700198866).

56568052224 is an abundant number, since it is smaller than the sum of its proper divisors (106832345508).

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

56568052224 is a wasteful number, since it uses less digits than its factorization.

56568052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10638 (or 10619 counting only the distinct ones).

The product of its (nonzero) digits is 1152000, while the sum is 45.

The spelling of 56568052224 in words is "fifty-six billion, five hundred sixty-eight million, fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1321 1536 2304 2642 3963 4608 5284 7926 9293 10568 11889 15852 18586 21136 23778 27879 31704 37172 42272 47556 55758 63408 74344 83637 84544 95112 111516 126816 148688 167274 169088 190224 223032 253632 297376 334548 338176 380448 446064 507264 594752 669096 676352 760896 892128 1014528 1189504 1338192 1521792 1784256 2029056 2379008 2676384 3043584 3568512 4758016 5352768 6087168 7137024 10705536 12276053 14274048 21411072 24552106 36828159 42822144 49104212 73656318 98208424 110484477 147312636 196416848 220968954 294625272 392833696 441937908 589250544 785667392 883875816 1178501088 1571334784 1767751632 2357002176 3142669568 3535503264 4714004352 6285339136 7071006528 9428008704 14142013056 18856017408 28284026112 56568052224