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12891631480 = 23572131931859
BaseRepresentation
bin11000000000110011…
…01010111101111000
31020021102212201210121
430000121222331320
5202400224201410
65531120223024
7634316026300
oct140031527570
936242781717
1012891631480
115515a985a2
1225b946aa74
1312a5abb110
148a41da600
15506b979da
hex30066af78

12891631480 has 384 divisors, whose sum is σ = 39529728000. Its totient is φ = 3736212480.

The previous prime is 12891631477. The next prime is 12891631553. The reversal of 12891631480 is 8413619821.

It is a super-2 number, since 2×128916314802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 15007291 + ... + 15008149.

It is an arithmetic number, because the mean of its divisors is an integer number (102942000).

Almost surely, 212891631480 is an apocalyptic number.

12891631480 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 12891631480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19764864000).

12891631480 is an abundant number, since it is smaller than the sum of its proper divisors (26638096520).

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

12891631480 is a wasteful number, since it uses less digits than its factorization.

12891631480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 947 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 43.

The spelling of 12891631480 in words is "twelve billion, eight hundred ninety-one million, six hundred thirty-one thousand, four hundred eighty".