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13260651264 = 28347231421
BaseRepresentation
bin11000101100110010…
…10111101100000000
31021020011020212210000
430112121113230000
5204124211320024
610031501440000
7646416450600
oct142631275400
937204225700
1013260651264
115695323623
1226a0b70000
1313343a3513
148db218c00
1552928bcc9
hex316657b00

13260651264 has 540 divisors, whose sum is σ = 47593051968. Its totient is φ = 3657830400.

The previous prime is 13260651263. The next prime is 13260651293. The reversal of 13260651264 is 46215606231.

13260651264 is a `hidden beast` number, since 1 + 32 + 606 + 5 + 12 + 6 + 4 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13260651263) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 31497774 + ... + 31498194.

Almost surely, 213260651264 is an apocalyptic number.

13260651264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13260651264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23796525984).

13260651264 is an abundant number, since it is smaller than the sum of its proper divisors (34332400704).

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

13260651264 is an equidigital number, since it uses as much as digits as its factorization.

13260651264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 494 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 13260651264 in words is "thirteen billion, two hundred sixty million, six hundred fifty-one thousand, two hundred sixty-four".