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12764022960 = 243513172310463
BaseRepresentation
bin10111110001100101…
…11000100010110000
31012221112202112211010
423320302320202300
5202120042213320
65510321150520
7631206255633
oct137062704260
935845675733
1012764022960
11545aa5a407
12258278b440
13128552c010
1489129dc1a
154ea88cae0
hex2f8cb88b0

12764022960 has 320 divisors, whose sum is σ = 47084986368. Its totient is φ = 2828255232.

The previous prime is 12764022919. The next prime is 12764022961. The reversal of 12764022960 is 6922046721.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is not an unprimeable number, because it can be changed into a prime (12764022961) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1214689 + ... + 1225151.

Almost surely, 212764022960 is an apocalyptic number.

12764022960 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 12764022960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23542493184).

12764022960 is an abundant number, since it is smaller than the sum of its proper divisors (34320963408).

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

12764022960 is a wasteful number, since it uses less digits than its factorization.

12764022960 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10532 (or 10526 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 39.

The spelling of 12764022960 in words is "twelve billion, seven hundred sixty-four million, twenty-two thousand, nine hundred sixty".