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56056061556 = 223311211033889
BaseRepresentation
bin110100001101001100…
…111001111001110100
312100200122100222022000
4310031030321321310
51404300322432211
641430215535300
74023056442615
oct641514717164
9170618328260
1056056061556
1121856204800
12aa4508a530
135394636bc1
1429dab73c0c
1516d13a3656
hexd0d339e74

56056061556 has 144 divisors (see below), whose sum is σ = 159929414400. Its totient is φ = 16966920960.

The previous prime is 56056061539. The next prime is 56056061561. The reversal of 56056061556 is 65516065065.

It is a super-2 number, since 2×560560615562 (a number of 22 digits) contains 22 as substring.

It is a congruent 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 47 ways as a sum of consecutive naturals, for example, 14412060 + ... + 14415948.

Almost surely, 256056061556 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 56056061556, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79964707200).

56056061556 is an abundant number, since it is smaller than the sum of its proper divisors (103873352844).

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

56056061556 is a wasteful number, since it uses less digits than its factorization.

56056061556 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5027 (or 5008 counting only the distinct ones).

The product of its (nonzero) digits is 810000, while the sum is 45.

The spelling of 56056061556 in words is "fifty-six billion, fifty-six million, sixty-one thousand, five hundred fifty-six".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 121 132 198 242 297 363 396 484 594 726 1089 1103 1188 1452 2178 2206 3267 3309 3889 4356 4412 6534 6618 7778 9927 11667 12133 13068 13236 15556 19854 23334 24266 29781 35001 36399 39708 42779 46668 48532 59562 70002 72798 85558 105003 109197 119124 128337 133463 140004 145596 171116 210006 218394 256674 266926 327591 385011 400389 420012 436788 470569 513348 533852 655182 770022 800778 941138 1155033 1201167 1310364 1411707 1540044 1601556 1882276 2310066 2402334 2823414 3603501 4235121 4289567 4620132 4804668 5646828 7207002 8470242 8579134 12705363 12868701 14414004 16940484 17158268 25410726 25737402 38606103 47185237 50821452 51474804 77212206 94370474 115818309 141555711 154424412 188740948 231636618 283111422 424667133 463273236 519037607 566222844 849334266 1038075214 1274001399 1557112821 1698668532 2076150428 2548002798 3114225642 4671338463 5096005596 6228451284 9342676926 14014015389 18685353852 28028030778 56056061556