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10347442157 = 1315110694931
BaseRepresentation
bin10011010001100000…
…10110111111101101
3222201010112112011102
421220300112333231
5132142421122112
64430433332445
7514263543563
oct115060267755
928633475142
1010347442157
11442a952498
122009407125
13c8b989350
14702365a33
1540863dbc2
hex268c16fed

10347442157 has 16 divisors (see below), whose sum is σ = 11229966720. Its totient is φ = 9477432000.

The previous prime is 10347442153. The next prime is 10347442181. The reversal of 10347442157 is 75124474301.

It is a cyclic number.

It is not a de Polignac number, because 10347442157 - 22 = 10347442153 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 10347442157.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10347442151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2095982 + ... + 2100912.

It is an arithmetic number, because the mean of its divisors is an integer number (701872920).

Almost surely, 210347442157 is an apocalyptic number.

It is an amenable number.

10347442157 is a deficient number, since it is larger than the sum of its proper divisors (882524563).

10347442157 is a wasteful number, since it uses less digits than its factorization.

10347442157 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6164.

The product of its (nonzero) digits is 94080, while the sum is 38.

The spelling of 10347442157 in words is "ten billion, three hundred forty-seven million, four hundred forty-two thousand, one hundred fifty-seven".

Divisors: 1 13 151 1069 1963 4931 13897 64103 161419 744581 2098447 5271239 9679553 68526107 795957089 10347442157