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13362428640 = 2535113768399
BaseRepresentation
bin11000111000111011…
…00111101011100000
31021111020202201002110
430130131213223200
5204331240204030
610045535115320
7652063524621
oct143435475340
937436681073
1013362428640
115737819460
12270b072b40
13134c4ba012
1490a94da48
155331931b0
hex31c767ae0

13362428640 has 192 divisors, whose sum is σ = 47159884800. Its totient is φ = 3151779840.

The previous prime is 13362428633. The next prime is 13362428641. The reversal of 13362428640 is 4682426331.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13362428641) 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, 161161 + ... + 229559.

It is an arithmetic number, because the mean of its divisors is an integer number (245624400).

Almost surely, 213362428640 is an apocalyptic number.

13362428640 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 13362428640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23579942400).

13362428640 is an abundant number, since it is smaller than the sum of its proper divisors (33797456160).

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

13362428640 is a wasteful number, since it uses less digits than its factorization.

13362428640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68465 (or 68457 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 39.

The spelling of 13362428640 in words is "thirteen billion, three hundred sixty-two million, four hundred twenty-eight thousand, six hundred forty".