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12800572080 = 24351931831091
BaseRepresentation
bin10111110101111100…
…10011101010110000
31020001002112102210020
423322332103222300
5202203421301310
65514104403440
7632132032062
oct137276235260
936032472706
1012800572080
11547965329a
122592a76580
13128cc87c0a
14896095732
154edbac170
hex2faf93ab0

12800572080 has 320 divisors, whose sum is σ = 43677204480. Its totient is φ = 3088972800.

The previous prime is 12800572079. The next prime is 12800572123. The reversal of 12800572080 is 8027500821.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11732335 + ... + 11733425.

It is an arithmetic number, because the mean of its divisors is an integer number (136491264).

Almost surely, 212800572080 is an apocalyptic number.

12800572080 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 12800572080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21838602240).

12800572080 is an abundant number, since it is smaller than the sum of its proper divisors (30876632400).

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

12800572080 is a wasteful number, since it uses less digits than its factorization.

12800572080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1240 (or 1234 counting only the distinct ones).

The product of its (nonzero) digits is 8960, while the sum is 33.

The spelling of 12800572080 in words is "twelve billion, eight hundred million, five hundred seventy-two thousand, eighty".