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8041838112 = 2536711337
BaseRepresentation
bin1110111110101010…
…01011011000100000
3202202110010201000000
413133111023120200
5112432202304422
63405552300000
7403166332110
oct73725133040
922673121000
108041838112
113457454000
121685241600
139b21014b9
14564079040
15321011cac
hex1df54b620

8041838112 has 672 divisors, whose sum is σ = 30646111104. Its totient is φ = 2032335360.

The previous prime is 8041838107. The next prime is 8041838131. The reversal of 8041838112 is 2118381408.

It is a tau number, because it is divible by the number of its divisors (672).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 217346958 + ... + 217346994.

It is an arithmetic number, because the mean of its divisors is an integer number (45604332).

Almost surely, 28041838112 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 8041838112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15323055552).

8041838112 is an abundant number, since it is smaller than the sum of its proper divisors (22604272992).

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

8041838112 is an equidigital number, since it uses as much as digits as its factorization.

8041838112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 36.

The square root of 8041838112 is about 89676.2962660702. The cubic root of 8041838112 is about 2003.4804490571.

The spelling of 8041838112 in words is "eight billion, forty-one million, eight hundred thirty-eight thousand, one hundred twelve".