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56616061055085 = 3257717613326489
BaseRepresentation
bin11001101111101111101000…
…01101010011000001101101
321102110102221122021000011100
430313313310031103001231
524410044143112230320
6320225020454513313
714632242525460650
oct1467676415230155
9242412848230140
1056616061055085
1117048811540484
1264246a4365839
132578b4402275c
14dda336783897
15682aa89bb790
hex337df435306d

56616061055085 has 96 divisors (see below), whose sum is σ = 113882837552640. Its totient is φ = 25483559270400.

The previous prime is 56616061055077. The next prime is 56616061055107. The reversal of 56616061055085 is 58055016061665.

It is a happy number.

56616061055085 is a `hidden beast` number, since 5 + 6 + 6 + 1 + 6 + 0 + 6 + 1 + 0 + 550 + 85 = 666.

It is not a de Polignac number, because 56616061055085 - 23 = 56616061055077 is a prime.

It is a super-2 number, since 2×566160610550852 (a number of 28 digits) contains 22 as substring.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 15356521 + ... + 18683009.

It is an arithmetic number, because the mean of its divisors is an integer number (1186279557840).

Almost surely, 256616061055085 is an apocalyptic number.

It is an amenable number.

56616061055085 is an abundant number, since it is smaller than the sum of its proper divisors (57266776497555).

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

56616061055085 is a wasteful number, since it uses less digits than its factorization.

56616061055085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3327339 (or 3327336 counting only the distinct ones).

The product of its (nonzero) digits is 6480000, while the sum is 54.

The spelling of 56616061055085 in words is "fifty-six trillion, six hundred sixteen billion, sixty-one million, fifty-five thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 71 105 213 315 355 497 639 761 1065 1491 2283 2485 3195 3805 4473 5327 6849 7455 11415 15981 22365 26635 34245 47943 54031 79905 162093 239715 270155 378217 486279 810465 1134651 1891085 2431395 3326489 3403953 5673255 9979467 16632445 17019765 23285423 29938401 49897335 69856269 116427115 149692005 209568807 236180719 349281345 708542157 1047844035 1180903595 1653265033 2125626471 2531458129 3542710785 4959795099 7594374387 8266325165 10628132355 12657290645 14879385297 17720206903 22783123161 24798975495 37971871935 53160620709 74396926485 88601034515 113915615805 159481862127 179733527159 265803103545 539200581477 797409310635 898667635795 1258134690113 1617601744431 2696002907385 3774404070339 6290673450565 8088008722155 11323212211017 18872020351695 56616061055085