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12133765924 = 2272312717369
BaseRepresentation
bin10110100110011101…
…01001001100100100
31011022121211011200221
423103032221030210
5144322221002144
65324004414124
7606454210600
oct132316511444
934277734627
1012133765924
115167215a25
1224276a7344
1311b4a9b467
148316bc500
154b0394d84
hex2d33a9324

12133765924 has 72 divisors (see below), whose sum is σ = 25595243520. Its totient is φ = 5013187200.

The previous prime is 12133765907. The next prime is 12133765939. The reversal of 12133765924 is 42956733121.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1642912 + ... + 1650280.

Almost surely, 212133765924 is an apocalyptic number.

12133765924 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12133765924, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12797621760).

12133765924 is an abundant number, since it is smaller than the sum of its proper divisors (13461477596).

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

12133765924 is a wasteful number, since it uses less digits than its factorization.

12133765924 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 7680 counting only the distinct ones).

The product of its digits is 272160, while the sum is 43.

The spelling of 12133765924 in words is "twelve billion, one hundred thirty-three million, seven hundred sixty-five thousand, nine hundred twenty-four".

Divisors: 1 2 4 7 14 28 31 49 62 98 124 196 217 271 434 542 868 1084 1519 1897 3038 3794 6076 7369 7588 8401 13279 14738 16802 26558 29476 33604 51583 53116 58807 103166 117614 206332 228439 235228 361081 411649 456878 722162 823298 913756 1444324 1599073 1646596 1996999 3198146 3993998 6396292 7987996 11193511 13978993 22387022 27957986 44774044 55915972 61906969 97852951 123813938 195705902 247627876 391411804 433348783 866697566 1733395132 3033441481 6066882962 12133765924