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13995749376 = 212337101179
BaseRepresentation
bin11010000100011011…
…00011000000000000
31100010101110201211000
431002031203000000
5212130402440001
610232441252000
71003553623020
oct150215430000
940111421730
1013995749376
115a32265724
122867194000
13142078120b
1496aacba80
1556da93a86
hex342363000

13995749376 has 416 divisors, whose sum is σ = 48123763200. Its totient is φ = 3937075200.

The previous prime is 13995749371. The next prime is 13995749437. The reversal of 13995749376 is 67394759931.

13995749376 is a `hidden beast` number, since 1 + 3 + 99 + 57 + 493 + 7 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13995749371) 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, 78188455 + ... + 78188633.

Almost surely, 213995749376 is an apocalyptic number.

13995749376 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 13995749376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24061881600).

13995749376 is an abundant number, since it is smaller than the sum of its proper divisors (34128013824).

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

13995749376 is a wasteful number, since it uses less digits than its factorization.

13995749376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 320 (or 292 counting only the distinct ones).

The product of its digits is 38578680, while the sum is 63.

The spelling of 13995749376 in words is "thirteen billion, nine hundred ninety-five million, seven hundred forty-nine thousand, three hundred seventy-six".