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12842462976 = 283719592131
BaseRepresentation
bin10111111010111100…
…00110111100000000
31020011000100201021220
423331132012330000
5202300132303401
65522202315040
7633151064010
oct137536067400
936130321256
1012842462976
1154a0265572
1225a4ab8a80
131298864325
1489b87bc40
155026d4336
hex2fd786f00

12842462976 has 288 divisors, whose sum is σ = 41834956800. Its totient is φ = 3415633920.

The previous prime is 12842462953. The next prime is 12842462977. The reversal of 12842462976 is 67926424821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12842462977) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6025431 + ... + 6027561.

Almost surely, 212842462976 is an apocalyptic number.

12842462976 is a gapful number since it is divisible by the number (16) 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 12842462976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20917478400).

12842462976 is an abundant number, since it is smaller than the sum of its proper divisors (28992493824).

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

12842462976 is a wasteful number, since it uses less digits than its factorization.

12842462976 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2235 (or 2221 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 51.

The spelling of 12842462976 in words is "twelve billion, eight hundred forty-two million, four hundred sixty-two thousand, nine hundred seventy-six".