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12349919232 = 21233724353
BaseRepresentation
bin10111000000001110…
…01101000000000000
31011212200112220022000
423200013031000000
5200243034403412
65401245344000
7615020403300
oct134007150000
934780486260
1012349919232
115268231122
122487b68000
13121a7c0021
148522a7600
154c43404dc
hex2e01cd000

12349919232 has 624 divisors, whose sum is σ = 44372940480. Its totient is φ = 3381460992.

The previous prime is 12349919209. The next prime is 12349919249. The reversal of 12349919232 is 23291994321.

It is a happy number.

12349919232 is a `hidden beast` number, since 123 + 499 + 1 + 9 + 2 + 32 = 666.

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

Its product of digits (209952) is a multiple of the sum of its prime divisors (108).

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, 233017318 + ... + 233017370.

Almost surely, 212349919232 is an apocalyptic number.

12349919232 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 12349919232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22186470240).

12349919232 is an abundant number, since it is smaller than the sum of its proper divisors (32023021248).

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

12349919232 is an equidigital number, since it uses as much as digits as its factorization.

12349919232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 108 counting only the distinct ones).

The product of its digits is 209952, while the sum is 45.

The spelling of 12349919232 in words is "twelve billion, three hundred forty-nine million, nine hundred nineteen thousand, two hundred thirty-two".