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12319376160 = 2535721343937
BaseRepresentation
bin10110111100100101…
…01100001100100000
31011210120002011002010
423132102230030200
5200212230014120
65354234552520
7614166653400
oct133622541440
934716064063
1012319376160
115251a6a713
122479898740
131214387ac0
1484c1d6800
154c180a7e0
hex2de4ac320

12319376160 has 576 divisors, whose sum is σ = 49797804672. Its totient is φ = 2536095744.

The previous prime is 12319376131. The next prime is 12319376183. The reversal of 12319376160 is 6167391321.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13147212 + ... + 13148148.

It is an arithmetic number, because the mean of its divisors is an integer number (86454522).

Almost surely, 212319376160 is an apocalyptic number.

12319376160 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 12319376160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24898902336).

12319376160 is an abundant number, since it is smaller than the sum of its proper divisors (37478428512).

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

12319376160 is a wasteful number, since it uses less digits than its factorization.

12319376160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1025 (or 1010 counting only the distinct ones).

The product of its (nonzero) digits is 40824, while the sum is 39.

The spelling of 12319376160 in words is "twelve billion, three hundred nineteen million, three hundred seventy-six thousand, one hundred sixty".