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14713132896 = 25367118191
BaseRepresentation
bin11011011001111100…
…01001011101100000
31101222101100121000000
431230332021131200
5220113030223041
610431545300000
71030414365120
oct155476113540
941871317000
1014713132896
1162701a8570
122a27494600
131506298ac7
149d80acc80
155b1a4bbb6
hex36cf89760

14713132896 has 336 divisors, whose sum is σ = 54152921088. Its totient is φ = 3821126400.

The previous prime is 14713132877. The next prime is 14713132963. The reversal of 14713132896 is 69823131741.

It is a tau number, because it is divible by the number of its divisors (336).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1792161 + ... + 1800351.

It is an arithmetic number, because the mean of its divisors is an integer number (161169408).

Almost surely, 214713132896 is an apocalyptic number.

14713132896 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 14713132896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27076460544).

14713132896 is an abundant number, since it is smaller than the sum of its proper divisors (39439788192).

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

14713132896 is an equidigital number, since it uses as much as digits as its factorization.

14713132896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8237 (or 8214 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 14713132896 in words is "fourteen billion, seven hundred thirteen million, one hundred thirty-two thousand, eight hundred ninety-six".