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12180978432 = 2832719127313
BaseRepresentation
bin10110101100000101…
…01111101100000000
31011102220122211002100
423112002233230000
5144421312302212
65332412350400
7610566415440
oct132602575400
934386584070
1012180978432
115190932427
12243b475400
1311c17bbb5c
14837a8c120
154b45bdbdc
hex2d60afb00

12180978432 has 432 divisors, whose sum is σ = 42719272960. Its totient is φ = 3260694528.

The previous prime is 12180978419. The next prime is 12180978463. The reversal of 12180978432 is 23487908121.

It is a happy number.

12180978432 is a `hidden beast` number, since 121 + 8 + 0 + 97 + 8 + 432 = 666.

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, 38916708 + ... + 38917020.

Almost surely, 212180978432 is an apocalyptic number.

12180978432 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 12180978432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21359636480).

12180978432 is an abundant number, since it is smaller than the sum of its proper divisors (30538294528).

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

12180978432 is a wasteful number, since it uses less digits than its factorization.

12180978432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 488 (or 471 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 12180978432 in words is "twelve billion, one hundred eighty million, nine hundred seventy-eight thousand, four hundred thirty-two".