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12907634220 = 223251343163787
BaseRepresentation
bin11000000010101101…
…01101111000101100
31020022112222202102200
430001112231320230
5202413323243340
65532451221500
7634602036435
oct140126557054
936275882380
1012907634220
1155240286a8
1226028a7890
1312a9201cb0
148a63a448c
155082a9330
hex3015ade2c

12907634220 has 288 divisors, whose sum is σ = 43465373952. Its totient is φ = 3080415744.

The previous prime is 12907634203. The next prime is 12907634237. The reversal of 12907634220 is 2243670921.

12907634220 is a `hidden beast` number, since 1 + 290 + 7 + 6 + 342 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (12907634203) and next prime (12907634237).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 16400667 + ... + 16401453.

Almost surely, 212907634220 is an apocalyptic number.

12907634220 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 12907634220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21732686976).

12907634220 is an abundant number, since it is smaller than the sum of its proper divisors (30557739732).

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

12907634220 is a wasteful number, since it uses less digits than its factorization.

12907634220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1021 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The spelling of 12907634220 in words is "twelve billion, nine hundred seven million, six hundred thirty-four thousand, two hundred twenty".