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56056105560114 = 23311676732092891
BaseRepresentation
bin11001011111011100101000…
…10000100110100000110010
321100110220121101012120121000
430233232110100212200302
524321410401010410424
6315115452553142430
714543630360344002
oct1457562420464062
9240426541176530
1056056105560114
1116952296233240
1263540703baa16
1325380b672aa4a
14dbb1b6974002
156732344c73c9
hex32fb94426832

56056105560114 has 128 divisors (see below), whose sum is σ = 138126853647360. Its totient is φ = 16708294310400.

The previous prime is 56056105560101. The next prime is 56056105560131. The reversal of 56056105560114 is 41106550165065.

56056105560114 is a `hidden beast` number, since 5 + 60 + 5 + 6 + 10 + 5 + 560 + 1 + 14 = 666.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 56056105560114.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 25737609 + ... + 27830499.

It is an arithmetic number, because the mean of its divisors is an integer number (1079116044120).

Almost surely, 256056105560114 is an apocalyptic number.

56056105560114 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 56056105560114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69063426823680).

56056105560114 is an abundant number, since it is smaller than the sum of its proper divisors (82070748087246).

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

56056105560114 is a wasteful number, since it uses less digits than its factorization.

56056105560114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093653 (or 2093647 counting only the distinct ones).

The product of its (nonzero) digits is 540000, while the sum is 45.

The spelling of 56056105560114 in words is "fifty-six trillion, fifty-six billion, one hundred five million, five hundred sixty thousand, one hundred fourteen".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 67 99 134 198 201 297 402 594 603 673 737 1206 1346 1474 1809 2019 2211 3618 4038 4422 6057 6633 7403 12114 13266 14806 18171 19899 22209 36342 39798 44418 45091 66627 90182 133254 135273 199881 270546 399762 405819 496001 811638 992002 1217457 1488003 2092891 2434914 2976006 4185782 4464009 6278673 8928018 12557346 13392027 18836019 23021801 26784054 37672038 46043602 56508057 69065403 113016114 138130806 140223697 207196209 280447394 414392418 420671091 621588627 841342182 1243177254 1262013273 1408515643 1542460667 2524026546 2817031286 3084921334 3786039819 4225546929 4627382001 7572079638 8451093858 9254764002 12676640787 13882146003 15493672073 25353281574 27764292006 30987344146 38029922361 41646438009 46481016219 76059844722 83292876018 92962032438 94370548081 139443048657 188741096162 278886097314 283111644243 418329145971 566223288486 836658291942 849334932729 1038076028891 1698669865458 2076152057782 2548004798187 3114228086673 5096009596374 6228456173346 9342684260019 18685368520038 28028052780057 56056105560114