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12907883520 = 210335713339
BaseRepresentation
bin11000000010101111…
…01010110000000000
31020022120110102102000
430001113222300000
5202413404233040
65532500424000
7634604125320
oct140127526000
936276412360
1012907883520
115524188a34
1226029a8000
1312a928b5cc
148a642b280
15508308130
hex3015eac00

12907883520 has 352 divisors, whose sum is σ = 52429401600. Its totient is φ = 2950152192.

The previous prime is 12907883519. The next prime is 12907883531. The reversal of 12907883520 is 2538870921.

It is a happy number.

12907883520 is a `hidden beast` number, since 1 + 290 + 7 + 8 + 8 + 352 + 0 = 666.

It is a super-2 number, since 2×129078835202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 961011 + ... + 974349.

Almost surely, 212907883520 is an apocalyptic number.

12907883520 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 12907883520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26214700800).

12907883520 is an abundant number, since it is smaller than the sum of its proper divisors (39521518080).

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

12907883520 is a wasteful number, since it uses less digits than its factorization.

12907883520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13380 (or 13356 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 12907883520 in words is "twelve billion, nine hundred seven million, eight hundred eighty-three thousand, five hundred twenty".