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12423704832 = 283471131251
BaseRepresentation
bin10111001001000001…
…01011000100000000
31012001211101121010000
423210200223010000
5200420432023312
65412443040000
7616604514540
oct134440530400
935054347100
1012423704832
1152a5948360
1224a8810000
13122cb85946
1485bdd3320
154caa67adc
hex2e482b100

12423704832 has 720 divisors, whose sum is σ = 47866097664. Its totient is φ = 3110400000.

The previous prime is 12423704809. The next prime is 12423704833. The reversal of 12423704832 is 23840732421.

It is a happy number.

12423704832 is a `hidden beast` number, since 1 + 242 + 370 + 48 + 3 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (12423704833) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 49496707 + ... + 49496957.

Almost surely, 212423704832 is an apocalyptic number.

12423704832 is a gapful number since it is divisible by the number (12) 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 12423704832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23933048832).

12423704832 is an abundant number, since it is smaller than the sum of its proper divisors (35442392832).

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

12423704832 is a wasteful number, since it uses less digits than its factorization.

12423704832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 328 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 12423704832 in words is "twelve billion, four hundred twenty-three million, seven hundred four thousand, eight hundred thirty-two".