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12976230400 = 21252743421
BaseRepresentation
bin11000001010111000…
…11001000000000000
31020111100001210200221
430011130121000000
5203033403333100
65543341352424
7636364065340
oct140534310000
936440053627
1012976230400
11555981aa61
122621868714
1312ba49b853
148b153cd20
1550e30901a
hex305719000

12976230400 has 312 divisors, whose sum is σ = 37718441024. Its totient is φ = 4335206400.

The previous prime is 12976230383. The next prime is 12976230401. The reversal of 12976230400 is 403267921.

It is not an unprimeable number, because it can be changed into a prime (12976230401) 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, 30822190 + ... + 30822610.

Almost surely, 212976230400 is an apocalyptic number.

12976230400 is a gapful number since it is divisible by the number (10) 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 12976230400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18859220512).

12976230400 is an abundant number, since it is smaller than the sum of its proper divisors (24742210624).

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

12976230400 is an equidigital number, since it uses as much as digits as its factorization.

12976230400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 505 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 18144, while the sum is 34.

The spelling of 12976230400 in words is "twelve billion, nine hundred seventy-six million, two hundred thirty thousand, four hundred".