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11425647360 = 283529374759
BaseRepresentation
bin10101010010000010…
…11000101100000000
31002111021101000122110
422221001120230000
5141344431203420
65125431135320
7553065254151
oct125101305400
932437330573
1011425647360
114933530a76
12226a514540
1311011789aa
147a562d928
1546d11bee0
hex2a9058b00

11425647360 has 576 divisors, whose sum is σ = 40265164800. Its totient is φ = 2753888256.

The previous prime is 11425647349. The next prime is 11425647379. The reversal of 11425647360 is 6374652411.

It is a happy number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 193655011 + ... + 193655069.

It is an arithmetic number, because the mean of its divisors is an integer number (69904800).

Almost surely, 211425647360 is an apocalyptic number.

11425647360 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 11425647360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20132582400).

11425647360 is an abundant number, since it is smaller than the sum of its proper divisors (28839517440).

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

11425647360 is a wasteful number, since it uses less digits than its factorization.

11425647360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 196 (or 182 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 11425647360 in words is "eleven billion, four hundred twenty-five million, six hundred forty-seven thousand, three hundred sixty".