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12933173844 = 22321753398729
BaseRepresentation
bin11000000101110000…
…01001001001010100
31020101100001022012200
430002320021021110
5202441343030334
65535202444500
7635332110123
oct140270111124
936340038180
1012933173844
115537491a28
12260b363730
1312b15a49b6
148a9931aba
1550a651799
hex302e09254

12933173844 has 72 divisors (see below), whose sum is σ = 35268465960. Its totient is φ = 3980900352.

The previous prime is 12933173837. The next prime is 12933173849. The reversal of 12933173844 is 44837133921.

12933173844 is a `hidden beast` number, since 1 + 293 + 317 + 3 + 8 + 44 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 890306244 + 12042867600 = 29838^2 + 109740^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 12933173844.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12933173849) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 166929 + ... + 231800.

It is an arithmetic number, because the mean of its divisors is an integer number (489839805).

Almost surely, 212933173844 is an apocalyptic number.

It is an amenable number.

12933173844 is an abundant number, since it is smaller than the sum of its proper divisors (22335292116).

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

12933173844 is a wasteful number, since it uses less digits than its factorization.

12933173844 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398809 (or 398804 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 12933173844 in words is "twelve billion, nine hundred thirty-three million, one hundred seventy-three thousand, eight hundred forty-four".

Divisors: 1 2 3 4 6 9 12 17 18 34 36 51 53 68 102 106 153 159 204 212 306 318 477 612 636 901 954 1802 1908 2703 3604 5406 8109 10812 16218 32436 398729 797458 1196187 1594916 2392374 3588561 4784748 6778393 7177122 13556786 14354244 20335179 21132637 27113572 40670358 42265274 61005537 63397911 81340716 84530548 122011074 126795822 190193733 244022148 253591644 359254829 380387466 718509658 760774932 1077764487 1437019316 2155528974 3233293461 4311057948 6466586922 12933173844