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107127015616 = 2612713179997
BaseRepresentation
bin110001111000101000…
…1001000100011000000
3101020111212101020201001
41203301101020203000
53223344003444431
6121114035421344
710511464415455
oct1436121104300
9336455336631
10107127015616
1141483453455
1218918754854
13a14322794a
14528380182c
152bbec92e61
hex18f14488c0

107127015616 has 28 divisors (see below), whose sum is σ = 214254047488. Its totient is φ = 53141743872.

The previous prime is 107127015607. The next prime is 107127015641. The reversal of 107127015616 is 616510721701.

It is a happy number.

107127015616 is an admirable number.

It is a super-2 number, since 2×1071270156162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6581871 + ... + 6598126.

Almost surely, 2107127015616 is an apocalyptic number.

107127015616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

107127015616 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

107127015616 is a wasteful number, since it uses less digits than its factorization.

107127015616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13180136 (or 13180126 counting only the distinct ones).

The product of its (nonzero) digits is 17640, while the sum is 37.

The spelling of 107127015616 in words is "one hundred seven billion, one hundred twenty-seven million, fifteen thousand, six hundred sixteen".

Divisors: 1 2 4 8 16 32 64 127 254 508 1016 2032 4064 8128 13179997 26359994 52719988 105439976 210879952 421759904 843519808 1673859619 3347719238 6695438476 13390876952 26781753904 53563507808 107127015616