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56116703136 = 2531344965307
BaseRepresentation
bin110100010000110100…
…001110111110100000
312100211212110212220110
4310100310032332200
51404411334000021
641440223411320
74024424051334
oct642064167640
9170755425813
1056116703136
112188746370a
12aa61453b40
1353a4079bb0
142a04c3b7c4
1516d6881476
hexd10d0efa0

56116703136 has 48 divisors (see below), whose sum is σ = 158637606624. Its totient is φ = 17266677504.

The previous prime is 56116703113. The next prime is 56116703173. The reversal of 56116703136 is 63130761165.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a junction number, because it is equal to n+sod(n) for n = 56116703094 and 56116703103.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 22481406 + ... + 22483901.

It is an arithmetic number, because the mean of its divisors is an integer number (3304950138).

Almost surely, 256116703136 is an apocalyptic number.

It is an amenable number.

56116703136 is an abundant number, since it is smaller than the sum of its proper divisors (102520903488).

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

56116703136 is a wasteful number, since it uses less digits than its factorization.

56116703136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44965333 (or 44965325 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The spelling of 56116703136 in words is "fifty-six billion, one hundred sixteen million, seven hundred three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 44965307 89930614 134895921 179861228 269791842 359722456 539583684 584548991 719444912 1079167368 1169097982 1438889824 1753646973 2158334736 2338195964 3507293946 4316669472 4676391928 7014587892 9352783856 14029175784 18705567712 28058351568 56116703136