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12842025280 = 2657311731069
BaseRepresentation
bin10111111010111000…
…11100000101000000
31020010222112110212221
423331130130011000
5202300024302110
65522145100424
7633144261640
oct137534340500
936128473787
1012842025280
11549aa96737
1225a4927714
131298740036
1489b7a6520
155026497da
hex2fd71c140

12842025280 has 224 divisors, whose sum is σ = 36318504960. Its totient is φ = 4232355840.

The previous prime is 12842025257. The next prime is 12842025319. The reversal of 12842025280 is 8252024821.

It is a tau number, because it is divible by the number of its divisors (224).

It is a super-2 number, since 2×128420252802 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

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, 12012586 + ... + 12013654.

Almost surely, 212842025280 is an apocalyptic number.

12842025280 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 12842025280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18159252480).

12842025280 is an abundant number, since it is smaller than the sum of its proper divisors (23476479680).

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

12842025280 is a wasteful number, since it uses less digits than its factorization.

12842025280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1297 (or 1287 counting only the distinct ones).

The product of its (nonzero) digits is 20480, while the sum is 34.

The spelling of 12842025280 in words is "twelve billion, eight hundred forty-two million, twenty-five thousand, two hundred eighty".