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11810392704 = 2733111983197
BaseRepresentation
bin10101111111111010…
…00100101010000000
31010111002100010001000
422333331010222000
5143141430031304
65231533412000
7565446452535
oct127775045200
933432303030
1011810392704
115010727930
12235733a000
131162aa8a66
14800782d8c
15491cba939
hex2bff44a80

11810392704 has 512 divisors, whose sum is σ = 40715136000. Its totient is φ = 3332689920.

The previous prime is 11810392687. The next prime is 11810392717. The reversal of 11810392704 is 40729301811.

It is a happy number.

11810392704 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 an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 59951134 + ... + 59951330.

It is an arithmetic number, because the mean of its divisors is an integer number (79521750).

Almost surely, 211810392704 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 11810392704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20357568000).

11810392704 is an abundant number, since it is smaller than the sum of its proper divisors (28904743296).

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

11810392704 is a wasteful number, since it uses less digits than its factorization.

11810392704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 333 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11810392704 in words is "eleven billion, eight hundred ten million, three hundred ninety-two thousand, seven hundred four".