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11768112864 = 25363116273
BaseRepresentation
bin10101111010110111…
…10010011011100000
31010101010210002000000
422331123302123200
5143100114102424
65223423300000
7564424210644
oct127533623340
933333702000
1011768112864
114a9987a412
12234514a600
1311570c45c1
147d8cd8c24
1548d2183c9
hex2bd6f26e0

11768112864 has 168 divisors, whose sum is σ = 35859563712. Its totient is φ = 3795932160.

The previous prime is 11768112799. The next prime is 11768112887. The reversal of 11768112864 is 46821186711.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 715032 + ... + 731304.

It is an arithmetic number, because the mean of its divisors is an integer number (213449784).

Almost surely, 211768112864 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 11768112864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17929781856).

11768112864 is an abundant number, since it is smaller than the sum of its proper divisors (24091450848).

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

11768112864 is an equidigital number, since it uses as much as digits as its factorization.

11768112864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16332 (or 16309 counting only the distinct ones).

The product of its digits is 129024, while the sum is 45.

The spelling of 11768112864 in words is "eleven billion, seven hundred sixty-eight million, one hundred twelve thousand, eight hundred sixty-four".