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94314640876992 = 263534071780003
BaseRepresentation
bin10101011100011101010110…
…101010101010010111000000
3110100221101120111002121200000
4111130131112222222113000
544330222341031030432
6532331314201400000
725603002503021124
oct2534352652522700
9410841514077600
1094314640876992
1128062683aa7668
12a6b2986499000
134081aa8c32293
141940bd27c5584
15ad851851d57c
hex55c756aaa5c0

94314640876992 has 168 divisors, whose sum is σ = 280430772900096. Its totient is φ = 31428968433408.

The previous prime is 94314640876969. The next prime is 94314640876997. The reversal of 94314640876992 is 29967804641349.

It is a happy number.

94314640876992 is a `hidden beast` number, since 9 + 4 + 3 + 1 + 464 + 0 + 8 + 76 + 9 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a self number, because there is not a number n which added to its sum of digits gives 94314640876992.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (94314640876997) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52095663 + ... + 53875665.

It is an arithmetic number, because the mean of its divisors is an integer number (1669230791072).

Almost surely, 294314640876992 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 94314640876992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140215386450048).

94314640876992 is an abundant number, since it is smaller than the sum of its proper divisors (186116132023104).

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

94314640876992 is a wasteful number, since it uses less digits than its factorization.

94314640876992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1783437 (or 1783415 counting only the distinct ones).

The product of its (nonzero) digits is 564350976, while the sum is 72.

The spelling of 94314640876992 in words is "ninety-four trillion, three hundred fourteen billion, six hundred forty million, eight hundred seventy-six thousand, nine hundred ninety-two".