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13718752704 = 2633192811487
BaseRepresentation
bin11001100011011001…
…11000110111000000
31022102002020211211000
430301230320313000
5211044000041304
610145144252000
7663651321366
oct146154706700
938362224730
1013718752704
1158aa972a58
1227aa471000
1313a8278867
14941dc5636
155545ca939
hex331b38dc0

13718752704 has 224 divisors, whose sum is σ = 42632985600. Its totient is φ = 4313917440.

The previous prime is 13718752669. The next prime is 13718752709. The reversal of 13718752704 is 40725781731.

13718752704 is a `hidden beast` number, since 1 + 371 + 8 + 7 + 5 + 270 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 13718752704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13718752709) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9225049 + ... + 9226535.

Almost surely, 213718752704 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 13718752704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21316492800).

13718752704 is an abundant number, since it is smaller than the sum of its proper divisors (28914232896).

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

13718752704 is a wasteful number, since it uses less digits than its factorization.

13718752704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1808 (or 1792 counting only the distinct ones).

The product of its (nonzero) digits is 329280, while the sum is 45.

The spelling of 13718752704 in words is "thirteen billion, seven hundred eighteen million, seven hundred fifty-two thousand, seven hundred four".