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14269875360 = 25351331711039
BaseRepresentation
bin11010100101000110…
…10000010010100000
31100211111021202222020
431102203100102200
5213211042002420
610315552541440
71013422640106
oct152243202240
940744252866
1014269875360
116062a77624
122922b51880
1314654c0040
14995287c76
15587b91340
hex3528d04a0

14269875360 has 384 divisors, whose sum is σ = 50721914880. Its totient is φ = 3348172800.

The previous prime is 14269875251. The next prime is 14269875383. The reversal of 14269875360 is 6357896241.

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, 13733721 + ... + 13734759.

It is an arithmetic number, because the mean of its divisors is an integer number (132088320).

It is a 1-persistent number, because it is pandigital, but 2⋅14269875360 = 28539750720 is not.

Almost surely, 214269875360 is an apocalyptic number.

14269875360 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 14269875360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

14269875360 is an abundant number, since it is smaller than the sum of its proper divisors (36452039520).

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

14269875360 is a wasteful number, since it uses less digits than its factorization.

14269875360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1172 (or 1164 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 51.

The spelling of 14269875360 in words is "fourteen billion, two hundred sixty-nine million, eight hundred seventy-five thousand, three hundred sixty".