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12145655808 = 220341113
BaseRepresentation
bin10110100111111000…
…00000000000000000
31011100110012020120000
423103330000000000
5144333241441213
65325111320000
7606660241146
oct132374000000
934313166500
1012145655808
1151729a6a80
12242b680000
1311b73a22b0
148330d5596
154b1442c73
hex2d3f00000

12145655808 has 420 divisors, whose sum is σ = 42630885528. Its totient is φ = 3397386240.

The previous prime is 12145655791. The next prime is 12145655813. The reversal of 12145655808 is 80855654121.

12145655808 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 5 + 65 + 580 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 934281210 + ... + 934281222.

Almost surely, 212145655808 is an apocalyptic number.

12145655808 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 12145655808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21315442764).

12145655808 is an abundant number, since it is smaller than the sum of its proper divisors (30485229720).

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

12145655808 is an frugal number, since it uses more digits than its factorization.

12145655808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 76 (or 29 counting only the distinct ones).

The product of its (nonzero) digits is 384000, while the sum is 45.

The spelling of 12145655808 in words is "twelve billion, one hundred forty-five million, six hundred fifty-five thousand, eight hundred eight".