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13009351392 = 253245171359
BaseRepresentation
bin11000001110110101…
…01111001011100000
31020120122101112011100
430013122233023200
5203120343221032
65550523314400
7640245443112
oct140732571340
936518345140
1013009351392
115576492284
12263097ba00
1312c42c727b
148b5ac13b2
1551219c97c
hex3076af2e0

13009351392 has 36 divisors (see below), whose sum is σ = 36995343840. Its totient is φ = 4336450368.

The previous prime is 13009351391. The next prime is 13009351403. The reversal of 13009351392 is 29315390031.

13009351392 is a `hidden beast` number, since 130 + 0 + 9 + 3 + 513 + 9 + 2 = 666.

13009351392 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13009351391) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 22585392 + ... + 22585967.

It is an arithmetic number, because the mean of its divisors is an integer number (1027648440).

Almost surely, 213009351392 is an apocalyptic number.

13009351392 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13009351392 is an abundant number, since it is smaller than the sum of its proper divisors (23985992448).

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

13009351392 is a wasteful number, since it uses less digits than its factorization.

13009351392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45171375 (or 45171364 counting only the distinct ones).

The product of its (nonzero) digits is 21870, while the sum is 36.

The spelling of 13009351392 in words is "thirteen billion, nine million, three hundred fifty-one thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 45171359 90342718 135514077 180685436 271028154 361370872 406542231 542056308 722741744 813084462 1084112616 1445483488 1626168924 2168225232 3252337848 4336450464 6504675696 13009351392