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12976720320 = 26351961107109
BaseRepresentation
bin11000001010111100…
…10000100111000000
31020111100222200202010
430011132100213000
5203034020022240
65543400052520
7636401205564
oct140536204700
936440880663
1012976720320
11555a025053
122621a64140
1312ba610845
148b16296a4
1550e3a4280
hex3057909c0

12976720320 has 448 divisors, whose sum is σ = 44900697600. Its totient is φ = 3165143040.

The previous prime is 12976720319. The next prime is 12976720321. The reversal of 12976720320 is 2302767921.

It is an interprime number because it is at equal distance from previous prime (12976720319) and next prime (12976720321).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12976720321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119052426 + ... + 119052534.

Almost surely, 212976720320 is an apocalyptic number.

12976720320 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 12976720320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22450348800).

12976720320 is an abundant number, since it is smaller than the sum of its proper divisors (31923977280).

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

12976720320 is a wasteful number, since it uses less digits than its factorization.

12976720320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 316 (or 306 counting only the distinct ones).

The product of its (nonzero) digits is 63504, while the sum is 39.

The spelling of 12976720320 in words is "twelve billion, nine hundred seventy-six million, seven hundred twenty thousand, three hundred twenty".