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2112779074032 = 243411374785223
BaseRepresentation
bin11110101111101011011…
…100100011100111110000
321110222110012120102020000
4132233223130203213300
5234103432420332112
64254333003550000
7305433430550124
oct36575334434760
97428405512200
102112779074032
1174502a7863a0
122a157952b300
13124307742783
147438abab584
1539e590797dc
hex1ebeb7239f0

2112779074032 has 400 divisors, whose sum is σ = 6997051302912. Its totient is φ = 609671370240.

The previous prime is 2112779074001. The next prime is 2112779074033. The reversal of 2112779074032 is 2304709772112.

2112779074032 is a `hidden beast` number, since 211 + 27 + 7 + 9 + 0 + 7 + 403 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112779074033) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 24748573 + ... + 24833795.

Almost surely, 22112779074032 is an apocalyptic number.

2112779074032 is a gapful number since it is divisible by the number (22) 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 2112779074032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3498525651456).

2112779074032 is an abundant number, since it is smaller than the sum of its proper divisors (4884272228880).

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

2112779074032 is a wasteful number, since it uses less digits than its factorization.

2112779074032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85338 (or 85323 counting only the distinct ones).

The product of its (nonzero) digits is 296352, while the sum is 45.

The spelling of 2112779074032 in words is "two trillion, one hundred twelve billion, seven hundred seventy-nine million, seventy-four thousand, thirty-two".