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13993367076 = 2232131941131293
BaseRepresentation
bin11010000100001000…
…11101011000100100
31100010012222200220200
431002010131120210
5212124300221301
610232314230500
71003524441363
oct150204353044
940105880820
1013993367076
115a30988887
122866425430
131420128a80
1496a66b7da
1556d772c86
hex34211d624

13993367076 has 288 divisors, whose sum is σ = 41530769280. Its totient is φ = 3935692800.

The previous prime is 13993367021. The next prime is 13993367081. The reversal of 13993367076 is 67076339931.

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 95 ways as a sum of consecutive naturals, for example, 47758786 + ... + 47759078.

It is an arithmetic number, because the mean of its divisors is an integer number (144204060).

Almost surely, 213993367076 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 13993367076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20765384640).

13993367076 is an abundant number, since it is smaller than the sum of its proper divisors (27537402204).

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

13993367076 is a wasteful number, since it uses less digits than its factorization.

13993367076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 507 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 3857868, while the sum is 54.

The spelling of 13993367076 in words is "thirteen billion, nine hundred ninety-three million, three hundred sixty-seven thousand, seventy-six".