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94894066080 = 2535511223877
BaseRepresentation
bin101100001100000100…
…0001000100110100000
3100001221022221000200000
41120120020020212200
53023320340103310
6111332125100000
76566364152532
oct1303010104640
9301838830600
1094894066080
1137276254400
12164839b7600
138c43a40478
144842ca5852
152705d5a4c0
hex16182089a0

94894066080 has 864 divisors, whose sum is σ = 385612036992. Its totient is φ = 21979330560.

The previous prime is 94894066063. The next prime is 94894066087. The reversal of 94894066080 is 8066049849.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (94894066087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 108202602 + ... + 108203478.

It is an arithmetic number, because the mean of its divisors is an integer number (446310228).

Almost surely, 294894066080 is an apocalyptic number.

94894066080 is a gapful number since it is divisible by the number (90) 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 94894066080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192806018496).

94894066080 is an abundant number, since it is smaller than the sum of its proper divisors (290717970912).

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

94894066080 is a wasteful number, since it uses less digits than its factorization.

94894066080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 952 (or 921 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The spelling of 94894066080 in words is "ninety-four billion, eight hundred ninety-four million, sixty-six thousand, eighty".