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12167864320 = 2135297067
BaseRepresentation
bin10110101010100001…
…01110000000000000
31011101222222112220111
423111100232000000
5144404433124240
65331223321104
7610350066043
oct132520560000
934358875814
1012167864320
115184495617
122436bb0194
1311bbb79a21
14836036c5a
154b337d1ea
hex2d542e000

12167864320 has 56 divisors (see below), whose sum is σ = 29201190264. Its totient is φ = 4867129344.

The previous prime is 12167864299. The next prime is 12167864323. The reversal of 12167864320 is 2346876121.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12167864323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 107574 + ... + 189493.

Almost surely, 212167864320 is an apocalyptic number.

12167864320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12167864320 is an abundant number, since it is smaller than the sum of its proper divisors (17033325944).

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

12167864320 is an frugal number, since it uses more digits than its factorization.

12167864320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297098 (or 297074 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 40.

The spelling of 12167864320 in words is "twelve billion, one hundred sixty-seven million, eight hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 256 320 512 640 1024 1280 2048 2560 4096 5120 8192 10240 20480 40960 297067 594134 1188268 1485335 2376536 2970670 4753072 5941340 9506144 11882680 19012288 23765360 38024576 47530720 76049152 95061440 152098304 190122880 304196608 380245760 608393216 760491520 1216786432 1520983040 2433572864 3041966080 6083932160 12167864320