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14275681056 = 2534713292087
BaseRepresentation
bin11010100101110010…
…11001101100100000
31100211220012201220000
431102321121230200
5213214033243211
610320321220000
71013523200250
oct152271315440
940756181800
1014275681056
11606628251a
122924a91600
131466773770
14995d59960
1558843b656
hex352e59b20

14275681056 has 480 divisors, whose sum is σ = 53480528640. Its totient is φ = 3633444864.

The previous prime is 14275681051. The next prime is 14275681087. The reversal of 14275681056 is 65018657241.

14275681056 is a `hidden beast` number, since 1 + 4 + 27 + 568 + 10 + 56 = 666.

It is a super-2 number, since 2×142756810562 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14275681051) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 6839245 + ... + 6841331.

It is an arithmetic number, because the mean of its divisors is an integer number (111417768).

Almost surely, 214275681056 is an apocalyptic number.

14275681056 is a gapful number since it is divisible by the number (16) 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 14275681056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26740264320).

14275681056 is an abundant number, since it is smaller than the sum of its proper divisors (39204847584).

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

14275681056 is a wasteful number, since it uses less digits than its factorization.

14275681056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2158 (or 2141 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 14275681056 in words is "fourteen billion, two hundred seventy-five million, six hundred eighty-one thousand, fifty-six".