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12880598940 = 2237511191409
BaseRepresentation
bin10111111111011111…
…00101011110011100
31020020200010020000000
423333233211132130
5202334413131230
65530043534300
7634123166406
oct137757453634
936220106000
1012880598940
11550a8426a0
1225b582a390
1312a37275a1
148a2967b76
15505c18b60
hex2ffbe579c

12880598940 has 384 divisors, whose sum is σ = 46617984000. Its totient is φ = 2956124160.

The previous prime is 12880598933. The next prime is 12880598971. The reversal of 12880598940 is 4989508821.

12880598940 is a `hidden beast` number, since 1 + 2 + 8 + 8 + 0 + 598 + 9 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 9140956 + ... + 9142364.

It is an arithmetic number, because the mean of its divisors is an integer number (121401000).

Almost surely, 212880598940 is an apocalyptic number.

12880598940 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 12880598940, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23308992000).

12880598940 is an abundant number, since it is smaller than the sum of its proper divisors (33737385060).

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

12880598940 is a wasteful number, since it uses less digits than its factorization.

12880598940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1469 (or 1449 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 12880598940 in words is "twelve billion, eight hundred eighty million, five hundred ninety-eight thousand, nine hundred forty".