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13996324560 = 24354359127181
BaseRepresentation
bin11010000100011111…
…01111011011010000
31100010102112221211010
431002033233123100
5212131024341220
610232501450520
71003561536651
oct150217573320
940112487733
1013996324560
115a32618889
122867410a40
131420922c6a
1496abdb528
1556db591e0
hex3423ef6d0

13996324560 has 320 divisors, whose sum is σ = 45757071360. Its totient is φ = 3535902720.

The previous prime is 13996324547. The next prime is 13996324577. The reversal of 13996324560 is 6542369931.

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, 77327670 + ... + 77327850.

It is an arithmetic number, because the mean of its divisors is an integer number (142990848).

Almost surely, 213996324560 is an apocalyptic number.

13996324560 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 13996324560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22878535680).

13996324560 is an abundant number, since it is smaller than the sum of its proper divisors (31760746800).

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

13996324560 is a wasteful number, since it uses less digits than its factorization.

13996324560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 426 (or 420 counting only the distinct ones).

The product of its (nonzero) digits is 1049760, while the sum is 48.

The spelling of 13996324560 in words is "thirteen billion, nine hundred ninety-six million, three hundred twenty-four thousand, five hundred sixty".