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8689068160 = 275293712653
BaseRepresentation
bin10000001011110100…
…01010100010000000
3211102120000101201021
420011322022202000
5120243400140120
63554112515224
7425215601143
oct100572124200
924376011637
108689068160
113759830573
121825b4bb14
13a86225766
145c5dd805a
1535cc5daaa
hex205e8a880

8689068160 has 128 divisors (see below), whose sum is σ = 22071106800. Its totient is φ = 3264823296.

The previous prime is 8689068139. The next prime is 8689068187. The reversal of 8689068160 is 618609868.

It can be written as a sum of positive squares in 8 ways, for example, as 2713159744 + 5975908416 = 52088^2 + 77304^2 .

It is a tau number, because it is divible by the number of its divisors (128).

It is a junction number, because it is equal to n+sod(n) for n = 8689068098 and 8689068107.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 680394 + ... + 693046.

Almost surely, 28689068160 is an apocalyptic number.

8689068160 is a gapful number since it is divisible by the number (80) 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 8689068160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11035553400).

8689068160 is an abundant number, since it is smaller than the sum of its proper divisors (13382038640).

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

8689068160 is a wasteful number, since it uses less digits than its factorization.

8689068160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12738 (or 12726 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 52.

The square root of 8689068160 is about 93215.1712973806. The cubic root of 8689068160 is about 2055.8483135378.

The spelling of 8689068160 in words is "eight billion, six hundred eighty-nine million, sixty-eight thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 29 32 37 40 58 64 74 80 116 128 145 148 160 185 232 290 296 320 370 464 580 592 640 740 928 1073 1160 1184 1480 1856 2146 2320 2368 2960 3712 4292 4640 4736 5365 5920 8584 9280 10730 11840 12653 17168 18560 21460 23680 25306 34336 42920 50612 63265 68672 85840 101224 126530 137344 171680 202448 253060 343360 366937 404896 468161 506120 686720 733874 809792 936322 1012240 1467748 1619584 1834685 1872644 2024480 2340805 2935496 3669370 3745288 4048960 4681610 5870992 7338740 7490576 8097920 9363220 11741984 13576669 14677480 14981152 18726440 23483968 27153338 29354960 29962304 37452880 46967936 54306676 58709920 59924608 67883345 74905760 108613352 117419840 135766690 149811520 217226704 234839680 271533380 299623040 434453408 543066760 868906816 1086133520 1737813632 2172267040 4344534080 8689068160