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14007026376 = 23327171799133
BaseRepresentation
bin11010000101110001…
…00100001011001000
31100011011200122221200
431002320210023020
5212141244321001
610233523104200
71004051521410
oct150270441310
940134618850
1014007026376
115a38668262
12286ab12060
131422bcc0b5
1496c3c5640
1556ea70086
hex342e242c8

14007026376 has 192 divisors, whose sum is σ = 46166889600. Its totient is φ = 3745142784.

The previous prime is 14007026317. The next prime is 14007026387. The reversal of 14007026376 is 67362070041.

14007026376 is a `hidden beast` number, since 14 + 0 + 0 + 7 + 0 + 2 + 637 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 14007026376.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1529106 + ... + 1538238.

It is an arithmetic number, because the mean of its divisors is an integer number (240452550).

Almost surely, 214007026376 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14007026376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23083444800).

14007026376 is an abundant number, since it is smaller than the sum of its proper divisors (32159863224).

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

14007026376 is a wasteful number, since it uses less digits than its factorization.

14007026376 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9348 (or 9341 counting only the distinct ones).

The product of its (nonzero) digits is 42336, while the sum is 36.

The spelling of 14007026376 in words is "fourteen billion, seven million, twenty-six thousand, three hundred seventy-six".