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12332380048 = 244353338207
BaseRepresentation
bin10110111110001000…
…10010111110010000
31011211110112211001121
423133010102332100
5200224042130143
65355421412024
7614415333532
oct133704227620
934743484047
1012332380048
11525934172a
12248210a014
131216c8ba01
1484dc1d852
154c2a287ed
hex2df112f90

12332380048 has 40 divisors (see below), whose sum is σ = 24911048448. Its totient is φ = 5909135232.

The previous prime is 12332380043. The next prime is 12332380061. The reversal of 12332380048 is 84008323321.

12332380048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 12332379995 and 12332380022.

It is not an unprimeable number, because it can be changed into a prime (12332380043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 132640 + ... + 205567.

Almost surely, 212332380048 is an apocalyptic number.

It is an amenable number.

12332380048 is an abundant number, since it is smaller than the sum of its proper divisors (12578668400).

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

12332380048 is a wasteful number, since it uses less digits than its factorization.

12332380048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338311 (or 338305 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 34.

The spelling of 12332380048 in words is "twelve billion, three hundred thirty-two million, three hundred eighty thousand, forty-eight".

Divisors: 1 2 4 8 16 43 53 86 106 172 212 344 424 688 848 2279 4558 9116 18232 36464 338207 676414 1352828 2705656 5411312 14542901 17924971 29085802 35849942 58171604 71699884 116343208 143399768 232686416 286799536 770773753 1541547506 3083095012 6166190024 12332380048