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12697258400 = 255215871573
BaseRepresentation
bin10111101001101000…
…01100100110100000
31012202220010120001122
423310310030212200
5202000444232100
65455534151412
7626435626031
oct136464144640
935686116048
1012697258400
1154262a9192
122564352568
131274754068
14886480a88
154e4aa0985
hex2f4d0c9a0

12697258400 has 36 divisors (see below), whose sum is σ = 30997184022. Its totient is φ = 5078903040.

The previous prime is 12697258339. The next prime is 12697258493. The reversal of 12697258400 is 485279621.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 12213786256 + 483472144 = 110516^2 + 21988^2 .

It is a super-3 number, since 3×126972584003 (a number of 31 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7934987 + ... + 7936586.

Almost surely, 212697258400 is an apocalyptic number.

12697258400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12697258400 is an abundant number, since it is smaller than the sum of its proper divisors (18299925622).

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

12697258400 is a wasteful number, since it uses less digits than its factorization.

12697258400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15871593 (or 15871580 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 44.

The spelling of 12697258400 in words is "twelve billion, six hundred ninety-seven million, two hundred fifty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 15871573 31743146 63486292 79357865 126972584 158715730 253945168 317431460 396789325 507890336 634862920 793578650 1269725840 1587157300 2539451680 3174314600 6348629200 12697258400