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317320840872 = 233372171992821
BaseRepresentation
bin1001001111000011100…
…10111100011010101000
31010100001122010220121000
410213201302330122220
520144333113401442
6401435234515000
731632335433600
oct4474162743250
91110048126530
10317320840872
11112636384422
12515ba135a60
1323c00438b89
141150369bc00
1583c310ed4c
hex49e1cbc6a8

317320840872 has 384 divisors, whose sum is σ = 1142824464000. Its totient is φ = 80838051840.

The previous prime is 317320840871. The next prime is 317320840873. The reversal of 317320840872 is 278048023713.

317320840872 is a `hidden beast` number, since 3 + 173 + 2 + 0 + 8 + 408 + 72 = 666.

It is an interprime number because it is at equal distance from previous prime (317320840871) and next prime (317320840873).

It is not an unprimeable number, because it can be changed into a prime (317320840871) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3372222 + ... + 3465042.

It is an arithmetic number, because the mean of its divisors is an integer number (2976105375).

Almost surely, 2317320840872 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 317320840872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (571412232000).

317320840872 is an abundant number, since it is smaller than the sum of its proper divisors (825503623128).

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

317320840872 is a wasteful number, since it uses less digits than its factorization.

317320840872 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92886 (or 92869 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 317320840872 in words is "three hundred seventeen billion, three hundred twenty million, eight hundred forty thousand, eight hundred seventy-two".