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13364750464 = 271317371132
BaseRepresentation
bin11000111001001100…
…11110100010000000
31021111102010200000221
430130212132202000
5204332334003324
610050100552424
7652122335032
oct143446364200
937442120027
1013364750464
11573906491a
12270b9b2714
13134cb20a90
1490ad95c52
155334a10e4
hex31c99e880

13364750464 has 192 divisors, whose sum is σ = 31458740040. Its totient is φ = 5598609408.

The previous prime is 13364750453. The next prime is 13364750521. The reversal of 13364750464 is 46405746331.

It can be written as a sum of positive squares in 12 ways, for example, as 84492864 + 13280257600 = 9192^2 + 115240^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13364750464.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118272072 + ... + 118272184.

Almost surely, 213364750464 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13364750464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15729370020).

13364750464 is an abundant number, since it is smaller than the sum of its proper divisors (18093989576).

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

13364750464 is a wasteful number, since it uses less digits than its factorization.

13364750464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 307 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 43.

The spelling of 13364750464 in words is "thirteen billion, three hundred sixty-four million, seven hundred fifty thousand, four hundred sixty-four".