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56835661440 = 273529601907
BaseRepresentation
bin110100111011101010…
…110101111010000000
312102200222022202021210
4310323222311322000
51412344412131230
642035425250120
74051304102565
oct647352657200
9172628282253
1056835661440
1122116281728
12b022193940
135489cc64cc
142a7250c86c
151729a4aeb0
hexd3bab5e80

56835661440 has 64 divisors (see below), whose sum is σ = 181163676960. Its totient is φ = 15156175872.

The previous prime is 56835661439. The next prime is 56835661447. The reversal of 56835661440 is 4416653865.

It is a tau number, because it is divible by the number of its divisors (64).

It is a super-2 number, since 2×568356614402 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 56835661440.

It is not an unprimeable number, because it can be changed into a prime (56835661447) 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 7 ways as a sum of consecutive naturals, for example, 14799034 + ... + 14802873.

Almost surely, 256835661440 is an apocalyptic number.

It is an amenable number.

56835661440 is an abundant number, since it is smaller than the sum of its proper divisors (124328015520).

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

56835661440 is a wasteful number, since it uses less digits than its factorization.

56835661440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29601929 (or 29601917 counting only the distinct ones).

The product of its (nonzero) digits is 2073600, while the sum is 48.

The spelling of 56835661440 in words is "fifty-six billion, eight hundred thirty-five million, six hundred sixty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 320 384 480 640 960 1920 29601907 59203814 88805721 118407628 148009535 177611442 236815256 296019070 355222884 444028605 473630512 592038140 710445768 888057210 947261024 1184076280 1420891536 1776114420 1894522048 2368152560 2841783072 3552228840 3789044096 4736305120 5683566144 7104457680 9472610240 11367132288 14208915360 18945220480 28417830720 56835661440