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12363125328 = 243285855037
BaseRepresentation
bin10111000001110011…
…00101001001010000
31011220121101211122200
423200321211021100
5200304430002303
65402440403200
7615240555111
oct134071451120
934817354580
1012363125328
115274731054
122490476500
131220464c98
14853d44208
154c559d3a3
hex2e0e65250

12363125328 has 30 divisors (see below), whose sum is σ = 34599580314. Its totient is φ = 4121041728.

The previous prime is 12363125317. The next prime is 12363125377. The reversal of 12363125328 is 82352136321.

12363125328 is a `hidden beast` number, since 12 + 3 + 6 + 312 + 5 + 328 = 666.

It can be written as a sum of positive squares in only one way, i.e., 12204062784 + 159062544 = 110472^2 + 12612^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 12363125292 and 12363125301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 42927375 + ... + 42927662.

Almost surely, 212363125328 is an apocalyptic number.

12363125328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

12363125328 is an abundant number, since it is smaller than the sum of its proper divisors (22236454986).

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

12363125328 is a wasteful number, since it uses less digits than its factorization.

12363125328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85855051 (or 85855042 counting only the distinct ones).

The product of its digits is 51840, while the sum is 36.

The spelling of 12363125328 in words is "twelve billion, three hundred sixty-three million, one hundred twenty-five thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 85855037 171710074 257565111 343420148 515130222 686840296 772695333 1030260444 1373680592 1545390666 2060520888 3090781332 4121041776 6181562664 12363125328