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13296623040 = 26345539679
BaseRepresentation
bin11000110001000101…
…00101110111000000
31021022122221102210000
430120202211313000
5204212413414130
610035224440000
7650334300561
oct143042456700
937278842700
1013296623040
115703662768
1226b1019000
13133b9896ac
14901d00168
1552c4e5260
hex3188a5dc0

13296623040 has 280 divisors, whose sum is σ = 48195829440. Its totient is φ = 3478505472.

The previous prime is 13296623029. The next prime is 13296623057. The reversal of 13296623040 is 4032669231.

13296623040 is a `hidden beast` number, since 1 + 3 + 29 + 6 + 623 + 0 + 4 + 0 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 13296622986 and 13296623004.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1368921 + ... + 1378599.

Almost surely, 213296623040 is an apocalyptic number.

13296623040 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 13296623040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24097914720).

13296623040 is an abundant number, since it is smaller than the sum of its proper divisors (34899206400).

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

13296623040 is an equidigital number, since it uses as much as digits as its factorization.

13296623040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9761 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The spelling of 13296623040 in words is "thirteen billion, two hundred ninety-six million, six hundred twenty-three thousand, forty".