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12083704865856 = 26321341967577
BaseRepresentation
bin1010111111010111010011…
…1011111010010001000000
31120210012011011112212022100
42233311310323322101000
53040434411421201411
641411102151510400
72355006320435211
oct257656473722100
946705134485270
1012083704865856
113939741414498
121431aa0388400
13698647260000
142dabd6803408
1515e4d17b7456
hexafd74efa440

12083704865856 has 840 divisors, whose sum is σ = 40155789213280. Its totient is φ = 3463789215744.

The previous prime is 12083704865849. The next prime is 12083704865909. The reversal of 12083704865856 is 65856840738021.

12083704865856 is a `hidden beast` number, since 1 + 2 + 0 + 8 + 3 + 7 + 0 + 48 + 6 + 585 + 6 = 666.

It is a super-2 number, since 2×120837048658562 (a number of 27 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 12083704865793 and 12083704865802.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 20942295840 + ... + 20942296416.

Almost surely, 212083704865856 is an apocalyptic number.

12083704865856 is a gapful number since it is divisible by the number (16) 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 12083704865856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20077894606640).

12083704865856 is an abundant number, since it is smaller than the sum of its proper divisors (28072084347424).

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

12083704865856 is an equidigital number, since it uses as much as digits as its factorization.

12083704865856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 733 (or 681 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 12083704865856 in words is "twelve trillion, eighty-three billion, seven hundred four million, eight hundred sixty-five thousand, eight hundred fifty-six".