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12877339860 = 2232571117314143
BaseRepresentation
bin10111111111000110…
…01001110011010100
31020020102222122101100
423333203021303110
5202333044333420
65525450030100
7634053403620
oct137743116324
936212878340
1012877339860
115508a17040
1225b4718330
1312a2b56038
148a235a180
155057c3190
hex2ff8c9cd4

12877339860 has 1152 divisors, whose sum is σ = 55794106368. Its totient is φ = 2322432000.

The previous prime is 12877339831. The next prime is 12877339919. The reversal of 12877339860 is 6893377821.

12877339860 is a `hidden beast` number, since 128 + 7 + 73 + 398 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12877339797 and 12877339806.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 299472999 + ... + 299473041.

It is an arithmetic number, because the mean of its divisors is an integer number (48432384).

Almost surely, 212877339860 is an apocalyptic number.

12877339860 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 12877339860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27897053184).

12877339860 is an abundant number, since it is smaller than the sum of its proper divisors (42916766508).

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

12877339860 is a wasteful number, since it uses less digits than its factorization.

12877339860 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 165 (or 160 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 12877339860 in words is "twelve billion, eight hundred seventy-seven million, three hundred thirty-nine thousand, eight hundred sixty".