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12319232640 = 2735112134079
BaseRepresentation
bin10110111100100100…
…01001001010000000
31011210112210212012120
423132102021022000
5200212210421030
65354231524240
7614165515101
oct133622111200
934715725176
1012319232640
115251981900
122479829680
131214337690
1484c19a3a8
154c17cd010
hex2de489280

12319232640 has 384 divisors, whose sum is σ = 46493395200. Its totient is φ = 2756075520.

The previous prime is 12319232623. The next prime is 12319232641. The reversal of 12319232640 is 4623291321.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (12319232641) 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 47 ways as a sum of consecutive naturals, for example, 3018121 + ... + 3022199.

It is an arithmetic number, because the mean of its divisors is an integer number (121076550).

Almost surely, 212319232640 is an apocalyptic number.

12319232640 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 12319232640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23246697600).

12319232640 is an abundant number, since it is smaller than the sum of its proper divisors (34174162560).

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

12319232640 is a wasteful number, since it uses less digits than its factorization.

12319232640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4136 (or 4113 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The spelling of 12319232640 in words is "twelve billion, three hundred nineteen million, two hundred thirty-two thousand, six hundred forty".