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12368869344 = 25331322329127
BaseRepresentation
bin10111000010011110…
…11111011111100000
31011221000012122222000
423201033133133200
5200312412304334
65403203444000
7615340440366
oct134117373740
934830178860
1012368869344
1152779a4677
122492386600
1312216c6600
148549db636
154c5d35299
hex2e13df7e0

12368869344 has 576 divisors, whose sum is σ = 42500505600. Its totient is φ = 3487131648.

The previous prime is 12368869307. The next prime is 12368869369. The reversal of 12368869344 is 44396886321.

12368869344 is a `hidden beast` number, since 1 + 236 + 8 + 8 + 69 + 344 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

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, 97392609 + ... + 97392735.

It is an arithmetic number, because the mean of its divisors is an integer number (73785600).

Almost surely, 212368869344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12368869344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21250252800).

12368869344 is an abundant number, since it is smaller than the sum of its proper divisors (30131636256).

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

12368869344 is a wasteful number, since it uses less digits than its factorization.

12368869344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 197 counting only the distinct ones).

The product of its digits is 5971968, while the sum is 54.

The spelling of 12368869344 in words is "twelve billion, three hundred sixty-eight million, eight hundred sixty-nine thousand, three hundred forty-four".