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12267704064 = 283711218859
BaseRepresentation
bin10110110110011011…
…00100111100000000
31011122221211221021210
423123031210330000
5200111013012224
65345151250120
7613001523030
oct133315447400
934587757253
1012267704064
115225887700
122464519940
1312067655b5
148453c58c0
154bc000429
hex2db364f00

12267704064 has 216 divisors, whose sum is σ = 41017029760. Its totient is φ = 3186247680.

The previous prime is 12267704063. The next prime is 12267704077. The reversal of 12267704064 is 46040776221.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12267704063) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 641067 + ... + 659925.

Almost surely, 212267704064 is an apocalyptic number.

12267704064 is a gapful number since it is divisible by the number (14) 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 12267704064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20508514880).

12267704064 is an abundant number, since it is smaller than the sum of its proper divisors (28749325696).

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

12267704064 is a wasteful number, since it uses less digits than its factorization.

12267704064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18907 (or 18882 counting only the distinct ones).

The product of its (nonzero) digits is 112896, while the sum is 39.

The spelling of 12267704064 in words is "twelve billion, two hundred sixty-seven million, seven hundred four thousand, sixty-four".