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13627997827 = 171097354559
BaseRepresentation
bin11001011000100101…
…01011111010000011
31022011202111000112021
430230102223322003
5210402231412302
610132143142311
7661500033043
oct145422537203
938152430467
1013627997827
115863716524
122783ba4997
131392521152
14933d1d723
1554b650437
hex32c4abe83

13627997827 has 8 divisors (see below), whose sum is σ = 14562028800. Its totient is φ = 12708676224.

The previous prime is 13627997821. The next prime is 13627997833. The reversal of 13627997827 is 72879972631.

13627997827 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (13627997821) and next prime (13627997833).

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-13627997827 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (13627997821) 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 7 ways as a sum of consecutive naturals, for example, 3675427 + ... + 3679132.

It is an arithmetic number, because the mean of its divisors is an integer number (1820253600).

Almost surely, 213627997827 is an apocalyptic number.

13627997827 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

13627997827 is a deficient number, since it is larger than the sum of its proper divisors (934030973).

13627997827 is a wasteful number, since it uses less digits than its factorization.

13627997827 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7354685.

The product of its digits is 16003008, while the sum is 61.

The spelling of 13627997827 in words is "thirteen billion, six hundred twenty-seven million, nine hundred ninety-seven thousand, eight hundred twenty-seven".

Divisors: 1 17 109 1853 7354559 125027503 801646931 13627997827