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13997264130 = 235567149577
BaseRepresentation
bin11010000100100110…
…10100110100000010
31100010111022200200000
431002103110310002
5212131244423010
610232533540430
71003602532143
oct150223246402
940114280600
1013997264130
115a330aa793
1228677a4716
131420b91815
1496ada3aca
1556dc927c0
hex3424d4d02

13997264130 has 192 divisors, whose sum is σ = 38627971200. Its totient is φ = 3645886464.

The previous prime is 13997264111. The next prime is 13997264173. The reversal of 13997264130 is 3146279931.

13997264130 is a `hidden beast` number, since 1 + 399 + 72 + 64 + 130 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 24258402 + ... + 24258978.

It is an arithmetic number, because the mean of its divisors is an integer number (201187350).

Almost surely, 213997264130 is an apocalyptic number.

13997264130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 13997264130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19313985600).

13997264130 is an abundant number, since it is smaller than the sum of its proper divisors (24630707070).

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

13997264130 is a wasteful number, since it uses less digits than its factorization.

13997264130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 803 counting only the distinct ones).

The product of its (nonzero) digits is 244944, while the sum is 45.

The spelling of 13997264130 in words is "thirteen billion, nine hundred ninety-seven million, two hundred sixty-four thousand, one hundred thirty".