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12325952232 = 2332111932269
BaseRepresentation
bin10110111101010111…
…10001101011101000
31011211000110020202100
423132223301223220
5200220420432412
65355031533400
7614306602536
oct133653615350
934730406670
1012325952232
115255751390
12247bb2a260
13121584b079
1484d029156
154c21a8edc
hex2deaf1ae8

12325952232 has 192 divisors, whose sum is σ = 38457432000. Its totient is φ = 3536991360.

The previous prime is 12325952227. The next prime is 12325952239. The reversal of 12325952232 is 23225952321.

12325952232 is a `hidden beast` number, since 1 + 2 + 32 + 595 + 2 + 2 + 32 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 (12325952239) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 5431194 + ... + 5433462.

It is an arithmetic number, because the mean of its divisors is an integer number (200299125).

Almost surely, 212325952232 is an apocalyptic number.

12325952232 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 12325952232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19228716000).

12325952232 is an abundant number, since it is smaller than the sum of its proper divisors (26131479768).

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

12325952232 is a wasteful number, since it uses less digits than its factorization.

12325952232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2349 (or 2304 counting only the distinct ones).

The product of its digits is 64800, while the sum is 36.

The spelling of 12325952232 in words is "twelve billion, three hundred twenty-five million, nine hundred fifty-two thousand, two hundred thirty-two".