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317003917680 = 243351912760821
BaseRepresentation
bin1001001110011101110…
…01111110100101110000
31010022020112210112201000
410213032321332211300
520143211000331210
6401343554042000
731621436561352
oct4471671764560
91108215715630
10317003917680
111124934a132a
125152bb79300
1323b7c894268
14114b35610d2
1583a53abac0
hex49cee7e970

317003917680 has 320 divisors, whose sum is σ = 1158440140800. Its totient is φ = 79453301760.

The previous prime is 317003917679. The next prime is 317003917691. The reversal of 317003917680 is 86719300713.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5181670 + ... + 5242490.

It is an arithmetic number, because the mean of its divisors is an integer number (3620125440).

Almost surely, 2317003917680 is an apocalyptic number.

317003917680 is a gapful number since it is divisible by the number (30) 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 317003917680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (579220070400).

317003917680 is an abundant number, since it is smaller than the sum of its proper divisors (841436223120).

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

317003917680 is a wasteful number, since it uses less digits than its factorization.

317003917680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60989 (or 60977 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 317003917680 in words is "three hundred seventeen billion, three million, nine hundred seventeen thousand, six hundred eighty".