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13537974996 = 223272132920357
BaseRepresentation
bin11001001101110110…
…10001101011010100
31021221111002101102100
430212323101223110
5210211210144441
610115205442100
7656324613600
oct144673215324
937844071370
1013537974996
115817919a97
122759a10330
1313799919c0
14925da8500
155437bbcb6
hex326ed1ad4

13537974996 has 216 divisors, whose sum is σ = 44350717320. Its totient is φ = 3447166464.

The previous prime is 13537974971. The next prime is 13537974997. The reversal of 13537974996 is 69947973531.

13537974996 is a `hidden beast` number, since 1 + 3 + 53 + 7 + 97 + 499 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 839840400 + 12698134596 = 28980^2 + 112686^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13537974997) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 654850 + ... + 675206.

It is an arithmetic number, because the mean of its divisors is an integer number (205327395).

Almost surely, 213537974996 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 13537974996, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22175358660).

13537974996 is an abundant number, since it is smaller than the sum of its proper divisors (30812742324).

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

13537974996 is a wasteful number, since it uses less digits than its factorization.

13537974996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20423 (or 20411 counting only the distinct ones).

The product of its digits is 38578680, while the sum is 63.

The spelling of 13537974996 in words is "thirteen billion, five hundred thirty-seven million, nine hundred seventy-four thousand, nine hundred ninety-six".