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12374859264 = 29367120247
BaseRepresentation
bin10111000011001100…
…10101111000000000
31011221102110222120220
423201212111320000
5200320430444024
65403540103040
7615442365615
oct134146257000
934842428526
1012374859264
115280315a19
122494394a80
131222a12b41
1485571a50c
154c6619e79
hex2e1995e00

12374859264 has 80 divisors (see below), whose sum is σ = 33459727488. Its totient is φ = 4063352832.

The previous prime is 12374859247. The next prime is 12374859269. The reversal of 12374859264 is 46295847321.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12374859269) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 42789 + ... + 163035.

Almost surely, 212374859264 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12374859264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16729863744).

12374859264 is an abundant number, since it is smaller than the sum of its proper divisors (21084868224).

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

12374859264 is an equidigital number, since it uses as much as digits as its factorization.

12374859264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 120335 (or 120319 counting only the distinct ones).

The product of its digits is 2903040, while the sum is 51.

The spelling of 12374859264 in words is "twelve billion, three hundred seventy-four million, eight hundred fifty-nine thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 67 96 128 134 192 201 256 268 384 402 512 536 768 804 1072 1536 1608 2144 3216 4288 6432 8576 12864 17152 25728 34304 51456 102912 120247 240494 360741 480988 721482 961976 1442964 1923952 2885928 3847904 5771856 7695808 8056549 11543712 15391616 16113098 23087424 24169647 30783232 32226196 46174848 48339294 61566464 64452392 92349696 96678588 128904784 184699392 193357176 257809568 386714352 515619136 773428704 1031238272 1546857408 2062476544 3093714816 4124953088 6187429632 12374859264