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13216596960 = 2535717435381
BaseRepresentation
bin11000100111100010…
…10100001111100000
31021010002100200122010
430103301110033200
5204031422100320
610023245312520
7645343135440
oct142361241740
937102320563
1013216596960
115672473a06
12268a265740
13132821a498
148d542c120
15525488ae0
hex313c543e0

13216596960 has 384 divisors, whose sum is σ = 51559732224. Its totient is φ = 2776596480.

The previous prime is 13216596959. The next prime is 13216596979. The reversal of 13216596960 is 6969561231.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2453470 + ... + 2458850.

It is an arithmetic number, because the mean of its divisors is an integer number (134270136).

Almost surely, 213216596960 is an apocalyptic number.

13216596960 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 13216596960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25779866112).

13216596960 is an abundant number, since it is smaller than the sum of its proper divisors (38343135264).

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

13216596960 is a wasteful number, since it uses less digits than its factorization.

13216596960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5466 (or 5458 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 48.

The spelling of 13216596960 in words is "thirteen billion, two hundred sixteen million, five hundred ninety-six thousand, nine hundred sixty".