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317890135680 = 2735132979691
BaseRepresentation
bin1001010000000111011…
…10101000011010000000
31010101112022101002020220
410220003232220122000
520202014333320210
6402011532503040
731652420366325
oct4500356503200
91111468332226
10317890135680
111128a876aaa7
125173891aa80
1323c91373800
1411559130b4c
1584080b4c70
hex4a03ba8680

317890135680 has 192 divisors, whose sum is σ = 1097215852320. Its totient is φ = 78249799680.

The previous prime is 317890135669. The next prime is 317890135709. The reversal of 317890135680 is 86531098713.

It is a tau number, because it is divible by the number of its divisors (192).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 165366 + ... + 814325.

Almost surely, 2317890135680 is an apocalyptic number.

317890135680 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 317890135680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (548607926160).

317890135680 is an abundant number, since it is smaller than the sum of its proper divisors (779325716640).

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

317890135680 is a wasteful number, since it uses less digits than its factorization.

317890135680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 979739 (or 979714 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 51.

The spelling of 317890135680 in words is "three hundred seventeen billion, eight hundred ninety million, one hundred thirty-five thousand, six hundred eighty".