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13793436880 = 2451710142233
BaseRepresentation
bin11001101100010011…
…10010010011010000
31022121021210012020121
430312021302103100
5211222104440010
610200413120024
7665546164456
oct146611622320
938537705217
1013793436880
115939043313
12280b489014
1313ba897492
1494bca69d6
1555ae2e3da
hex3362724d0

13793436880 has 40 divisors (see below), whose sum is σ = 33956199432. Its totient is φ = 5192822784.

The previous prime is 13793436817. The next prime is 13793436883. The reversal of 13793436880 is 8863439731.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 3993228864 + 9800208016 = 63192^2 + 98996^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13793436883) 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, 5069757 + ... + 5072476.

Almost surely, 213793436880 is an apocalyptic number.

13793436880 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13793436880 is an abundant number, since it is smaller than the sum of its proper divisors (20162762552).

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

13793436880 is a wasteful number, since it uses less digits than its factorization.

13793436880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10142263 (or 10142257 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 13793436880 in words is "thirteen billion, seven hundred ninety-three million, four hundred thirty-six thousand, eight hundred eighty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 340 680 1360 10142233 20284466 40568932 50711165 81137864 101422330 162275728 172417961 202844660 344835922 405689320 689671844 811378640 862089805 1379343688 1724179610 2758687376 3448359220 6896718440 13793436880