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13392370080 = 25325232811439
BaseRepresentation
bin11000111100011111…
…10101100110100000
31021120100002220000200
430132033311212200
5204411421320310
610052524545200
7652606160505
oct143617654640
937510086020
1013392370080
115752709951
1227190b2200
13135577144b
149109054ac
15535b099c0
hex31e3f59a0

13392370080 has 288 divisors, whose sum is σ = 47891450880. Its totient is φ = 3401502720.

The previous prime is 13392370049. The next prime is 13392370097. The reversal of 13392370080 is 8007329331.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9306001 + ... + 9307439.

It is an arithmetic number, because the mean of its divisors is an integer number (166289760).

Almost surely, 213392370080 is an apocalyptic number.

13392370080 is a gapful number since it is divisible by the number (10) 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 13392370080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23945725440).

13392370080 is an abundant number, since it is smaller than the sum of its proper divisors (34499080800).

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

13392370080 is a wasteful number, since it uses less digits than its factorization.

13392370080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1764 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The spelling of 13392370080 in words is "thirteen billion, three hundred ninety-two million, three hundred seventy thousand, eighty".