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12572936960 = 2859822607
BaseRepresentation
bin10111011010110011…
…11100101100000000
31012110020012101002212
423231121330230000
5201222132440320
65435333401252
7623366125613
oct135531745400
935406171085
1012572936960
1153721056a1
12252a799228
131254a7618c
14873b5c17a
154d8be49c5
hex2ed67cb00

12572936960 has 36 divisors (see below), whose sum is σ = 30116116128. Its totient is φ = 5029174272.

The previous prime is 12572936951. The next prime is 12572936963. The reversal of 12572936960 is 6963927521.

It is a happy number.

12572936960 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 = 12572936899 and 12572936908.

It is not an unprimeable number, because it can be changed into a prime (12572936963) 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 3 ways as a sum of consecutive naturals, for example, 4910024 + ... + 4912583.

Almost surely, 212572936960 is an apocalyptic number.

12572936960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12572936960 is an abundant number, since it is smaller than the sum of its proper divisors (17543179168).

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

12572936960 is an frugal number, since it uses more digits than its factorization.

12572936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9822628 (or 9822614 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 50.

The spelling of 12572936960 in words is "twelve billion, five hundred seventy-two million, nine hundred thirty-six thousand, nine hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 640 1280 9822607 19645214 39290428 49113035 78580856 98226070 157161712 196452140 314323424 392904280 628646848 785808560 1257293696 1571617120 2514587392 3143234240 6286468480 12572936960