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13996378400 = 255217495473
BaseRepresentation
bin11010000100011111…
…11100100100100000
31100010102122200200012
431002033330210200
5212131033102100
610232502544052
71003562152634
oct150217744440
940112580605
1013996378400
115a32655284
122867438028
131420941614
1496ac12dc4
1556db6a135
hex3423fc920

13996378400 has 36 divisors (see below), whose sum is σ = 34168660722. Its totient is φ = 5598551040.

The previous prime is 13996378397. The next prime is 13996378423. The reversal of 13996378400 is 487369931.

It can be written as a sum of positive squares in 3 ways, for example, as 5177665936 + 8818712464 = 71956^2 + 93908^2 .

It is a Harshad number since it is a multiple of its sum of digits (50).

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, 8746937 + ... + 8748536.

Almost surely, 213996378400 is an apocalyptic number.

13996378400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13996378400 is an abundant number, since it is smaller than the sum of its proper divisors (20172282322).

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

13996378400 is a wasteful number, since it uses less digits than its factorization.

13996378400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17495493 (or 17495480 counting only the distinct ones).

The product of its (nonzero) digits is 979776, while the sum is 50.

The spelling of 13996378400 in words is "thirteen billion, nine hundred ninety-six million, three hundred seventy-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 160 200 400 800 17495473 34990946 69981892 87477365 139963784 174954730 279927568 349909460 437386825 559855136 699818920 874773650 1399637840 1749547300 2799275680 3499094600 6998189200 13996378400