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2689928568 = 2333233111741
BaseRepresentation
bin1010000001010101…
…0000110101111000
320221110120112022000
42200111100311320
521002110203233
61122530301000
7123442005225
oct24025206570
96843515260
102689928568
111160438168
12630a27760
1333b39b512
141b737094c
1510b245d13
hexa0550d78

2689928568 has 128 divisors (see below), whose sum is σ = 7826457600. Its totient is φ = 854409600.

The previous prime is 2689928551. The next prime is 2689928569. The reversal of 2689928568 is 8658299862.

2689928568 is a `hidden beast` number, since 2 + 68 + 9 + 9 + 2 + 8 + 568 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2689928569) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1544178 + ... + 1545918.

It is an arithmetic number, because the mean of its divisors is an integer number (61144200).

Almost surely, 22689928568 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 2689928568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3913228800).

2689928568 is an abundant number, since it is smaller than the sum of its proper divisors (5136529032).

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

2689928568 is a wasteful number, since it uses less digits than its factorization.

2689928568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2090 (or 2080 counting only the distinct ones).

The product of its digits is 29859840, while the sum is 63.

The square root of 2689928568 is about 51864.5212838218. The cubic root of 2689928568 is about 1390.7431059277.

The spelling of 2689928568 in words is "two billion, six hundred eighty-nine million, nine hundred twenty-eight thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 27 36 46 54 69 72 92 108 138 184 207 216 276 311 414 552 621 622 828 933 1242 1244 1656 1741 1866 2484 2488 2799 3482 3732 4968 5223 5598 6964 7153 7464 8397 10446 11196 13928 14306 15669 16794 20892 21459 22392 28612 31338 33588 40043 41784 42918 47007 57224 62676 64377 67176 80086 85836 94014 120129 125352 128754 160172 171672 188028 193131 240258 257508 320344 360387 376056 386262 480516 515016 541451 720774 772524 961032 1081161 1082902 1441548 1545048 1624353 2162322 2165804 2883096 3248706 4324644 4331608 4873059 6497412 8649288 9746118 12453373 12994824 14619177 19492236 24906746 29238354 37360119 38984472 49813492 58476708 74720238 99626984 112080357 116953416 149440476 224160714 298880952 336241071 448321428 672482142 896642856 1344964284 2689928568