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12268255464 = 2335193747191
BaseRepresentation
bin10110110110011111…
…01011100011101000
31011122222212221200000
423123033223203220
5200111133133324
65345211143000
7613006310433
oct133317534350
934588787600
1012268255464
115226123a03
122464744a60
1312068c957a
148454ca81a
154bc0ad9c9
hex2db3eb8e8

12268255464 has 384 divisors, whose sum is σ = 38242713600. Its totient is φ = 3669960960.

The previous prime is 12268255457. The next prime is 12268255543. The reversal of 12268255464 is 46455286221.

12268255464 is a `hidden beast` number, since 1 + 2 + 26 + 82 + 5 + 546 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 64231609 + ... + 64231799.

It is an arithmetic number, because the mean of its divisors is an integer number (99590400).

Almost surely, 212268255464 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 12268255464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19121356800).

12268255464 is an abundant number, since it is smaller than the sum of its proper divisors (25974458136).

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

12268255464 is a wasteful number, since it uses less digits than its factorization.

12268255464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 315 (or 299 counting only the distinct ones).

The product of its digits is 921600, while the sum is 45.

The spelling of 12268255464 in words is "twelve billion, two hundred sixty-eight million, two hundred fifty-five thousand, four hundred sixty-four".