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12008141650944 = 21033479795267
BaseRepresentation
bin1010111010111101110100…
…0001000111110000000000
31120111222010001000211021000
42232233131001013300000
53033220133230312234
641312244125532000
72346362641630125
oct256573501076000
946458101024230
1012008141650944
11390a695a0174a
12141b312414000
1369149439a61a
142d72a8dda74c
1515c55ca9b899
hexaebdd047c00

12008141650944 has 352 divisors, whose sum is σ = 36693758223360. Its totient is φ = 3877121949696.

The previous prime is 12008141650931. The next prime is 12008141650961. The reversal of 12008141650944 is 44905614180021.

12008141650944 is a `hidden beast` number, since 1 + 20 + 0 + 81 + 4 + 1 + 6 + 509 + 44 = 666.

It is a super-2 number, since 2×120081416509442 (a number of 27 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 12008141650944.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125999599 + ... + 126094865.

Almost surely, 212008141650944 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12008141650944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18346879111680).

12008141650944 is an abundant number, since it is smaller than the sum of its proper divisors (24685616572416).

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

12008141650944 is an equidigital number, since it uses as much as digits as its factorization.

12008141650944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 95440 (or 95416 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 45.

The spelling of 12008141650944 in words is "twelve trillion, eight billion, one hundred forty-one million, six hundred fifty thousand, nine hundred forty-four".