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13052565504 = 211341123311
BaseRepresentation
bin11000010011111111…
…00101100000000000
31020200122201000210000
430021333211200000
5203212424044004
65555105440000
7641311655556
oct141177454000
936618630700
1013052565504
115598918720
122643340000
131300247a54
148bb72dbd6
15515d86c39
hex309fe5800

13052565504 has 480 divisors, whose sum is σ = 44523198720. Its totient is φ = 3771187200.

The previous prime is 13052565367. The next prime is 13052565509. The reversal of 13052565504 is 40556525031.

13052565504 is a `hidden beast` number, since 1 + 3 + 0 + 52 + 56 + 550 + 4 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13052565509) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 41969509 + ... + 41969819.

It is an arithmetic number, because the mean of its divisors is an integer number (92756664).

Almost surely, 213052565504 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 13052565504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22261599360).

13052565504 is an abundant number, since it is smaller than the sum of its proper divisors (31470633216).

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

13052565504 is a wasteful number, since it uses less digits than its factorization.

13052565504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 379 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

The spelling of 13052565504 in words is "thirteen billion, fifty-two million, five hundred sixty-five thousand, five hundred four".