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317300004864 = 2113319614951
BaseRepresentation
bin1001001111000001000…
…11011101100000000000
31010100000011221022222000
410213200203131200000
520144312300123424
6401433212144000
731631663353323
oct4474043354000
91110004838860
10317300004864
11112625642a87
12515b3168000
1323bc902208b
14115009d67ba
1583c13963c9
hex49e08dd800

317300004864 has 384 divisors, whose sum is σ = 1005810624000. Its totient is φ = 98537472000.

The previous prime is 317300004793. The next prime is 317300004893. The reversal of 317300004864 is 468400003713.

317300004864 is a `hidden beast` number, since 3 + 173 + 0 + 0 + 0 + 0 + 486 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 64085589 + ... + 64090539.

It is an arithmetic number, because the mean of its divisors is an integer number (2619298500).

Almost surely, 2317300004864 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 317300004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (502905312000).

317300004864 is an abundant number, since it is smaller than the sum of its proper divisors (688510619136).

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

317300004864 is a wasteful number, since it uses less digits than its factorization.

317300004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5062 (or 5036 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The spelling of 317300004864 in words is "three hundred seventeen billion, three hundred million, four thousand, eight hundred sixty-four".