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10607144431 = 135913829393
BaseRepresentation
bin10011110000011110…
…00010110111101111
31000101020012202201011
421320033002313233
5133210412110211
64512311530051
7523566145222
oct117017026757
930336182634
1010607144431
114553502674
122080389927
131000717c30
14728a495b9
1542133c921
hex2783c2def

10607144431 has 8 divisors (see below), whose sum is σ = 11616690960. Its totient is φ = 9625256832.

The previous prime is 10607144309. The next prime is 10607144479. The reversal of 10607144431 is 13444170601.

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-10607144431 is a prime.

It is a super-2 number, since 2×106071444312 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10607144393 and 10607144402.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10607144491) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6913930 + ... + 6915463.

It is an arithmetic number, because the mean of its divisors is an integer number (1452086370).

Almost surely, 210607144431 is an apocalyptic number.

10607144431 is a deficient number, since it is larger than the sum of its proper divisors (1009546529).

10607144431 is a wasteful number, since it uses less digits than its factorization.

10607144431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13829465.

The product of its (nonzero) digits is 8064, while the sum is 31.

The spelling of 10607144431 in words is "ten billion, six hundred seven million, one hundred forty-four thousand, four hundred thirty-one".

Divisors: 1 13 59 767 13829393 179782109 815934187 10607144431