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12386095344 = 2433722920177
BaseRepresentation
bin10111000100100010…
…01101000011110000
31011222012121211121000
423202101031003300
5200331320022334
65405021002000
7615640034100
oct134221150360
934865554530
1012386095344
11528669a837
1224980b3300
1312251481cc
14857003200
154c75d9299
hex2e244d0f0

12386095344 has 240 divisors, whose sum is σ = 42785431200. Its totient is φ = 3416684544.

The previous prime is 12386095327. The next prime is 12386095357. The reversal of 12386095344 is 44359068321.

12386095344 is a `hidden beast` number, since 1 + 2 + 3 + 8 + 609 + 5 + 34 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 12386095344.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 603784 + ... + 623960.

It is an arithmetic number, because the mean of its divisors is an integer number (178272630).

Almost surely, 212386095344 is an apocalyptic number.

12386095344 is a gapful number since it is divisible by the number (14) 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 12386095344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21392715600).

12386095344 is an abundant number, since it is smaller than the sum of its proper divisors (30399335856).

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

12386095344 is a wasteful number, since it uses less digits than its factorization.

12386095344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20237 (or 20218 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 12386095344 in words is "twelve billion, three hundred eighty-six million, ninety-five thousand, three hundred forty-four".