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12514512640 = 28571925373
BaseRepresentation
bin10111010011110110…
…00100111100000000
31012022011021010000011
423221323010330000
5201112203401030
65425445234304
7622056413410
oct135173047400
935264233004
1012514512640
115342130633
122513102994
13124592b486
1486a0b0640
154d3a03b2a
hex2e9ec4f00

12514512640 has 432 divisors, whose sum is σ = 37343291328. Its totient is φ = 3933536256.

The previous prime is 12514512631. The next prime is 12514512641. The reversal of 12514512640 is 4621541521.

It is a happy number.

It is a super-2 number, since 2×125145126402 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12514512641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 171431644 + ... + 171431716.

It is an arithmetic number, because the mean of its divisors is an integer number (86442804).

Almost surely, 212514512640 is an apocalyptic number.

12514512640 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 12514512640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18671645664).

12514512640 is an abundant number, since it is smaller than the sum of its proper divisors (24828778688).

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

12514512640 is an equidigital number, since it uses as much as digits as its factorization.

12514512640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 192 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 31.

The spelling of 12514512640 in words is "twelve billion, five hundred fourteen million, five hundred twelve thousand, six hundred forty".