Search a number
-
+
13151315520 = 26355737653
BaseRepresentation
bin11000011111110000…
…10010011001000000
31020221112112001100000
430033320102121000
5203413214044040
610012554200000
7643621223520
oct141770223100
936845461300
1013151315520
115639636002
122670423000
131317841605
148ca8b7680
1551e891130
hex30fe12640

13151315520 has 672 divisors, whose sum is σ = 55145196288. Its totient is φ = 2920292352.

The previous prime is 13151315509. The next prime is 13151315533. The reversal of 13151315520 is 2551315131.

13151315520 is a `hidden beast` number, since 1 + 3 + 1 + 5 + 131 + 5 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 20139514 + ... + 20140166.

It is an arithmetic number, because the mean of its divisors is an integer number (82061304).

Almost surely, 213151315520 is an apocalyptic number.

13151315520 is a gapful number since it is divisible by the number (10) 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 13151315520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27572598144).

13151315520 is an abundant number, since it is smaller than the sum of its proper divisors (41993880768).

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

13151315520 is an equidigital number, since it uses as much as digits as its factorization.

13151315520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 729 (or 707 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 27.

The spelling of 13151315520 in words is "thirteen billion, one hundred fifty-one million, three hundred fifteen thousand, five hundred twenty".