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15164287142952 = 2331879333621311
BaseRepresentation
bin1101110010101011010111…
…1100101100110000101000
31222200200200020120221202210
43130222311330230300220
53441422430002033302
652130213301125120
73123404112646623
oct334526574546050
958620606527683
1015164287142952
11491715783a692
12184ab350b97a0
1385cca872677c
143a5d53926dba
151b46d069666c
hexdcab5f2cc28

15164287142952 has 32 divisors (see below), whose sum is σ = 37912736263680. Its totient is φ = 5054493260160.

The previous prime is 15164287142951. The next prime is 15164287142957. The reversal of 15164287142952 is 25924178246151.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 15164287142892 and 15164287142901.

It is not an unprimeable number, because it can be changed into a prime (15164287142951) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16359624 + ... + 17261687.

It is an arithmetic number, because the mean of its divisors is an integer number (1184773008240).

Almost surely, 215164287142952 is an apocalyptic number.

15164287142952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

15164287142952 is an abundant number, since it is smaller than the sum of its proper divisors (22748449120728).

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

15164287142952 is a wasteful number, since it uses less digits than its factorization.

15164287142952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33640113 (or 33640109 counting only the distinct ones).

The product of its digits is 9676800, while the sum is 57.

The spelling of 15164287142952 in words is "fifteen trillion, one hundred sixty-four billion, two hundred eighty-seven million, one hundred forty-two thousand, nine hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 24 18793 37586 56379 75172 112758 150344 225516 451032 33621311 67242622 100863933 134485244 201727866 268970488 403455732 806911464 631845297623 1263690595246 1895535892869 2527381190492 3791071785738 5054762380984 7582143571476 15164287142952