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107011076736 = 273278674679
BaseRepresentation
bin110001110101001011…
…0110111001010000000
3101020012210012221110110
41203222112313022000
53223124313423421
6121054334431320
710505556100314
oct1435226671200
9336183187413
10107011076736
1141423a658a3
12188a5962540
13a1251c3365
145272261b44
152bb49e0a76
hex18ea5b7280

107011076736 has 32 divisors (see below), whose sum is σ = 284248173600. Its totient is φ = 35670358784.

The previous prime is 107011076729. The next prime is 107011076737. The reversal of 107011076736 is 637670110701.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-2 number, since 2×1070110767362 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 107011076694 and 107011076703.

It is not an unprimeable number, because it can be changed into a prime (107011076737) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 139336956 + ... + 139337723.

It is an arithmetic number, because the mean of its divisors is an integer number (8882755425).

Almost surely, 2107011076736 is an apocalyptic number.

107011076736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107011076736 is an abundant number, since it is smaller than the sum of its proper divisors (177237096864).

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

107011076736 is an equidigital number, since it uses as much as digits as its factorization.

107011076736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 278674696 (or 278674684 counting only the distinct ones).

The product of its (nonzero) digits is 37044, while the sum is 39.

The spelling of 107011076736 in words is "one hundred seven billion, eleven million, seventy-six thousand, seven hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 278674679 557349358 836024037 1114698716 1672048074 2229397432 3344096148 4458794864 6688192296 8917589728 13376384592 17835179456 26752769184 35670358912 53505538368 107011076736