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13627188042 = 2313174707539
BaseRepresentation
bin11001011000011111…
…00110001101001010
31022011200221212201020
430230033212031022
5210402030004132
610132113533310
7661460121126
oct145417461512
938150855636
1013627188042
115863213086
122783874236
1313922c96a0
14933b8c586
1554b54052c
hex32c3e634a

13627188042 has 16 divisors (see below), whose sum is σ = 29350866720. Its totient is φ = 4192980912.

The previous prime is 13627188017. The next prime is 13627188053. The reversal of 13627188042 is 24088172631.

13627188042 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 13627187985 and 13627188003.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 87353692 + ... + 87353847.

It is an arithmetic number, because the mean of its divisors is an integer number (1834429170).

Almost surely, 213627188042 is an apocalyptic number.

13627188042 is an abundant number, since it is smaller than the sum of its proper divisors (15723678678).

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

13627188042 is a wasteful number, since it uses less digits than its factorization.

13627188042 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 174707557.

The product of its (nonzero) digits is 129024, while the sum is 42.

The spelling of 13627188042 in words is "thirteen billion, six hundred twenty-seven million, one hundred eighty-eight thousand, forty-two".

Divisors: 1 2 3 6 13 26 39 78 174707539 349415078 524122617 1048245234 2271198007 4542396014 6813594021 13627188042