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12325033728 = 283271744953
BaseRepresentation
bin10110111101010000…
…10001011100000000
31011210221201120210200
423132220101130000
5200220202034403
65355000125200
7614266025640
oct133650213400
934727646720
1012325033728
115255184297
12247b766800
1312155b8c87
1484cc6a520
154c2076ca3
hex2dea11700

12325033728 has 216 divisors, whose sum is σ = 43002636768. Its totient is φ = 3314221056.

The previous prime is 12325033697. The next prime is 12325033733. The reversal of 12325033728 is 82733052321.

12325033728 is a `hidden beast` number, since 1 + 232 + 50 + 3 + 372 + 8 = 666.

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 = 12325033692 and 12325033701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 251700 + ... + 296652.

Almost surely, 212325033728 is an apocalyptic number.

12325033728 is a gapful number since it is divisible by the number (18) 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 12325033728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21501318384).

12325033728 is an abundant number, since it is smaller than the sum of its proper divisors (30677603040).

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

12325033728 is a wasteful number, since it uses less digits than its factorization.

12325033728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44999 (or 44982 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 12325033728 in words is "twelve billion, three hundred twenty-five million, thirty-three thousand, seven hundred twenty-eight".