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13340552256 = 26351750459
BaseRepresentation
bin11000110110010100…
…01010110001000000
31021102201121021100000
430123022022301000
5204310140133011
610043434200000
7651406552233
oct143312126100
937381537300
1013340552256
1157264373a9
122703883000
131347aca805
14907a9741a
155312c1356
hex31b28ac40

13340552256 has 168 divisors, whose sum is σ = 41987967840. Its totient is φ = 4185188352.

The previous prime is 13340552233. The next prime is 13340552257. The reversal of 13340552256 is 65225504331.

13340552256 is a `hidden beast` number, since 13 + 3 + 40 + 552 + 2 + 56 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13340552256.

It is not an unprimeable number, because it can be changed into a prime (13340552257) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 239155 + ... + 289613.

It is an arithmetic number, because the mean of its divisors is an integer number (249928380).

Almost surely, 213340552256 is an apocalyptic number.

13340552256 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 13340552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20993983920).

13340552256 is an abundant number, since it is smaller than the sum of its proper divisors (28647415584).

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

13340552256 is an equidigital number, since it uses as much as digits as its factorization.

13340552256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50503 (or 50481 counting only the distinct ones).

The product of its (nonzero) digits is 108000, while the sum is 36.

The spelling of 13340552256 in words is "thirteen billion, three hundred forty million, five hundred fifty-two thousand, two hundred fifty-six".