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17143116864 = 2631394871319
BaseRepresentation
bin11111111011100111…
…10011010001000000
31122020201210120100020
433331303303101000
5240102114214424
611513032253440
71144552042356
oct177563632100
948221716306
1017143116864
1172a792a485
1233a5241280
131802852343
14b88ad57d6
156a5047079
hex3fdcf3440

17143116864 has 112 divisors (see below), whose sum is σ = 45812659200. Its totient is φ = 5657319936.

The previous prime is 17143116847. The next prime is 17143116889. The reversal of 17143116864 is 46861134171.

It is a happy number.

It is a super-2 number, since 2×171431168642 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 12996397 + ... + 12997715.

It is an arithmetic number, because the mean of its divisors is an integer number (409041600).

Almost surely, 217143116864 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 17143116864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22906329600).

17143116864 is an abundant number, since it is smaller than the sum of its proper divisors (28669542336).

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

17143116864 is a wasteful number, since it uses less digits than its factorization.

17143116864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1960 (or 1950 counting only the distinct ones).

The product of its digits is 96768, while the sum is 42.

The spelling of 17143116864 in words is "seventeen billion, one hundred forty-three million, one hundred sixteen thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 139 192 278 417 487 556 834 974 1112 1319 1461 1668 1948 2224 2638 2922 3336 3896 3957 4448 5276 5844 6672 7792 7914 8896 10552 11688 13344 15584 15828 21104 23376 26688 31168 31656 42208 46752 63312 67693 84416 93504 126624 135386 183341 203079 253248 270772 366682 406158 541544 550023 642353 733364 812316 1083088 1100046 1284706 1466728 1624632 1927059 2166176 2200092 2569412 2933456 3249264 3854118 4332352 4400184 5138824 5866912 6498528 7708236 8800368 10277648 11733824 12997056 15416472 17600736 20555296 30832944 35201472 41110592 61665888 89287067 123331776 178574134 267861201 357148268 535722402 714296536 1071444804 1428593072 2142889608 2857186144 4285779216 5714372288 8571558432 17143116864