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11376530136 = 23331953193271
BaseRepresentation
bin10101001100001100…
…00001001011011000
31002100211221121111000
422212012001023120
5141244342431021
65120514305000
7551630624226
oct124606011330
932324847430
1011376530136
114908833524
122255b88160
1310c3c3c34a
1479ccc5b16
15468b68b26
hex2a61812d8

11376530136 has 256 divisors, whose sum is σ = 34193664000. Its totient is φ = 3493601280.

The previous prime is 11376530131. The next prime is 11376530153. The reversal of 11376530136 is 63103567311.

It is a happy number.

11376530136 is a `hidden beast` number, since 113 + 7 + 6 + 530 + 1 + 3 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 11376530136.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11376530131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 41979681 + ... + 41979951.

It is an arithmetic number, because the mean of its divisors is an integer number (133569000).

Almost surely, 211376530136 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 11376530136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17096832000).

11376530136 is an abundant number, since it is smaller than the sum of its proper divisors (22817133864).

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

11376530136 is a wasteful number, since it uses less digits than its factorization.

11376530136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 551 (or 541 counting only the distinct ones).

The product of its (nonzero) digits is 34020, while the sum is 36.

The spelling of 11376530136 in words is "eleven billion, three hundred seventy-six million, five hundred thirty thousand, one hundred thirty-six".