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17085968340 = 22357307132511
BaseRepresentation
bin11111110100110011…
…10010111111010100
31122002202021010022020
433322121302333110
5234443001441330
611503231333140
71143256222530
oct177231627724
948082233266
1017085968340
1172786469a1
12338a0811b0
1317c3a6324c
14b8129abc0
156a0009210
hex3fa672fd4

17085968340 has 96 divisors (see below), whose sum is σ = 54853607424. Its totient is φ = 3892613760.

The previous prime is 17085968321. The next prime is 17085968357. The reversal of 17085968340 is 4386958071.

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, 62685 + ... + 195195.

It is an arithmetic number, because the mean of its divisors is an integer number (571391744).

Almost surely, 217085968340 is an apocalyptic number.

17085968340 is a gapful number since it is divisible by the number (10) 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 17085968340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27426803712).

17085968340 is an abundant number, since it is smaller than the sum of its proper divisors (37767639084).

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

17085968340 is a wasteful number, since it uses less digits than its factorization.

17085968340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 132837 (or 132835 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 51.

The spelling of 17085968340 in words is "seventeen billion, eighty-five million, nine hundred sixty-eight thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 307 420 614 921 1228 1535 1842 2149 3070 3684 4298 4605 6140 6447 8596 9210 10745 12894 18420 21490 25788 32235 42980 64470 128940 132511 265022 397533 530044 662555 795066 927577 1325110 1590132 1855154 1987665 2650220 2782731 3710308 3975330 4637885 5565462 7950660 9275770 11130924 13913655 18551540 27827310 40680877 55654620 81361754 122042631 162723508 203404385 244085262 284766139 406808770 488170524 569532278 610213155 813617540 854298417 1139064556 1220426310 1423830695 1708596834 2440852620 2847661390 3417193668 4271492085 5695322780 8542984170 17085968340