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56836148364 = 2234792638443
BaseRepresentation
bin110100111011101100…
…101100110010001100
312102201000020111020000
4310323230230302030
51412400023221424
642035443524300
74051311201312
oct647354546214
9172630214200
1056836148364
1122116584546
12b022389690
13548a137028
142a725d80b2
151729ae53c9
hexd3bb2cc8c

56836148364 has 120 divisors (see below), whose sum is σ = 151051676160. Its totient is φ = 18632236896.

The previous prime is 56836148363. The next prime is 56836148387. The reversal of 56836148364 is 46384163865.

56836148364 is a `hidden beast` number, since 568 + 3 + 6 + 1 + 48 + 36 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 56836148364.

It is not an unprimeable number, because it can be changed into a prime (56836148363) 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 39 ways as a sum of consecutive naturals, for example, 6727527 + ... + 6735969.

It is an arithmetic number, because the mean of its divisors is an integer number (1258763968).

Almost surely, 256836148364 is an apocalyptic number.

56836148364 is a gapful number since it is divisible by the number (54) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56836148364, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75525838080).

56836148364 is an abundant number, since it is smaller than the sum of its proper divisors (94215527796).

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

56836148364 is a wasteful number, since it uses less digits than its factorization.

56836148364 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8801 (or 8790 counting only the distinct ones).

The product of its digits is 9953280, while the sum is 54.

The spelling of 56836148364 in words is "fifty-six billion, eight hundred thirty-six million, one hundred forty-eight thousand, three hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 79 81 108 158 162 237 263 316 324 474 526 711 789 948 1052 1422 1578 2133 2367 2844 3156 4266 4734 6399 7101 8443 8532 9468 12798 14202 16886 20777 21303 25329 25596 28404 33772 41554 42606 50658 62331 75987 83108 85212 101316 124662 151974 186993 227961 249324 303948 373986 455922 560979 666997 683883 747972 911844 1121958 1333994 1367766 1682937 2000991 2220509 2243916 2667988 2735532 3365874 4001982 4441018 6002973 6661527 6731748 8003964 8882036 12005946 13323054 18008919 19984581 24011892 26646108 36017838 39969162 54026757 59953743 72035676 79938324 108053514 119907486 175420211 179861229 216107028 239814972 350840422 359722458 526260633 701680844 719444916 1052521266 1578781899 2105042532 3157563798 4736345697 6315127596 9472691394 14209037091 18945382788 28418074182 56836148364