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13411396152 = 23347111797163
BaseRepresentation
bin11000111110110000…
…11010101000111000
31021121122220111220000
430133120122220320
5204431304134102
610054444433000
7653226662220
oct143730325070
937548814800
1013411396152
115762424480
122723548760
1313596a348b
14913259080
1553761701c
hex31f61aa38

13411396152 has 640 divisors, whose sum is σ = 50406935040. Its totient is φ = 3224862720.

The previous prime is 13411396139. The next prime is 13411396153. The reversal of 13411396152 is 25169311431.

13411396152 is a `hidden beast` number, since 1 + 3 + 4 + 1 + 1 + 39 + 615 + 2 = 666.

13411396152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (13411396153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 82278423 + ... + 82278585.

It is an arithmetic number, because the mean of its divisors is an integer number (78760836).

Almost surely, 213411396152 is an apocalyptic number.

13411396152 is a gapful number since it is divisible by the number (12) 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 13411396152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25203467520).

13411396152 is an abundant number, since it is smaller than the sum of its proper divisors (36995538888).

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

13411396152 is a wasteful number, since it uses less digits than its factorization.

13411396152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 313 (or 300 counting only the distinct ones).

The product of its digits is 19440, while the sum is 36.

The spelling of 13411396152 in words is "thirteen billion, four hundred eleven million, three hundred ninety-six thousand, one hundred fifty-two".