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113254965504 = 283331541977
BaseRepresentation
bin110100101111010000…
…1011010000100000000
3101211022221012100122000
41221132201122010000
53323421232344004
6124010102544000
711116364215542
oct1513641320400
9354287170560
10113254965504
114403852594a
1219b48a38000
13a8ab971cb5
1456a55d9692
152e2cc51c39
hex1a5e85a100

113254965504 has 288 divisors, whose sum is σ = 346712110080. Its totient is φ = 36429004800.

The previous prime is 113254965463. The next prime is 113254965547. The reversal of 113254965504 is 405569452311.

It is a happy number.

113254965504 is a `hidden beast` number, since 1 + 1 + 3 + 2 + 5 + 4 + 96 + 550 + 4 = 666.

113254965504 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×1132549655042 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113254965504.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115920664 + ... + 115921640.

Almost surely, 2113254965504 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 113254965504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173356055040).

113254965504 is an abundant number, since it is smaller than the sum of its proper divisors (233457144576).

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

113254965504 is an equidigital number, since it uses as much as digits as its factorization.

113254965504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1574 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 648000, while the sum is 45.

The spelling of 113254965504 in words is "one hundred thirteen billion, two hundred fifty-four million, nine hundred sixty-five thousand, five hundred four".