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56033243136 = 2123213116923
BaseRepresentation
bin110100001011110101…
…110111000000000000
312100122001102200022100
4310023311313000000
51404224002240021
641424042510400
74022361464613
oct641365670000
9170561380270
1056033243136
1121844339a02
12aa39505400
13538c9a7990
1429d7b1417a
1516ce397626
hexd0bd77000

56033243136 has 156 divisors (see below), whose sum is σ = 174305856088. Its totient is φ = 17240850432.

The previous prime is 56033243117. The next prime is 56033243141. The reversal of 56033243136 is 63134233065.

56033243136 is a `hidden beast` number, since 5 + 6 + 0 + 332 + 4 + 313 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (156).

It is a super-2 number, since 2×560332431362 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 56033243136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 420771 + ... + 537693.

Almost surely, 256033243136 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 56033243136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87152928044).

56033243136 is an abundant number, since it is smaller than the sum of its proper divisors (118272612952).

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

56033243136 is a wasteful number, since it uses less digits than its factorization.

56033243136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116966 (or 116941 counting only the distinct ones).

The product of its (nonzero) digits is 116640, while the sum is 36.

The spelling of 56033243136 in words is "fifty-six billion, thirty-three million, two hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 128 144 156 192 208 234 256 288 312 384 416 468 512 576 624 768 832 936 1024 1152 1248 1536 1664 1872 2048 2304 2496 3072 3328 3744 4096 4608 4992 6144 6656 7488 9216 9984 12288 13312 14976 18432 19968 26624 29952 36864 39936 53248 59904 79872 116923 119808 159744 233846 239616 350769 467692 479232 701538 935384 1052307 1403076 1519999 1870768 2104614 2806152 3039998 3741536 4209228 4559997 5612304 6079996 7483072 8418456 9119994 11224608 12159992 13679991 14966144 16836912 18239988 22449216 24319984 27359982 29932288 33673824 36479976 44898432 48639968 54719964 59864576 67347648 72959952 89796864 97279936 109439928 119729152 134695296 145919904 179593728 194559872 218879856 239458304 269390592 291839808 359187456 389119744 437759712 478916608 538781184 583679616 718374912 778239488 875519424 1077562368 1167359232 1436749824 1556478976 1751038848 2155124736 2334718464 3112957952 3502077696 4310249472 4669436928 6225915904 7004155392 9338873856 14008310784 18677747712 28016621568 56033243136