Search a number
-
+
2668888926 = 235111792789
BaseRepresentation
bin1001111100010100…
…0000001101011110
320212222222121100000
42133011000031132
520431213421201
61120455315130
7123065116164
oct23705001536
96788877300
102668888926
11114a577830
1262597baa6
13336c12b22
141b4655234
1510948bd86
hex9f14035e

2668888926 has 96 divisors (see below), whose sum is σ = 6580828800. Its totient is φ = 803947680.

The previous prime is 2668888907. The next prime is 2668888931. The reversal of 2668888926 is 6298888662.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 955540 + ... + 958328.

It is an arithmetic number, because the mean of its divisors is an integer number (68550300).

Almost surely, 22668888926 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2668888926, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3290414400).

2668888926 is an abundant number, since it is smaller than the sum of its proper divisors (3911939874).

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

2668888926 is a wasteful number, since it uses less digits than its factorization.

2668888926 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2996 (or 2984 counting only the distinct ones).

The product of its digits is 31850496, while the sum is 63.

The square root of 2668888926 is about 51661.2904020022. The cubic root of 2668888926 is about 1387.1076488878.

The spelling of 2668888926 in words is "two billion, six hundred sixty-eight million, eight hundred eighty-eight thousand, nine hundred twenty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 179 198 243 297 358 486 537 594 891 1074 1611 1782 1969 2673 2789 3222 3938 4833 5346 5578 5907 8367 9666 11814 14499 16734 17721 25101 28998 30679 35442 43497 50202 53163 61358 75303 86994 92037 106326 150606 159489 184074 225909 276111 318978 451818 478467 499231 552222 677727 828333 956934 998462 1355454 1497693 1656666 2484999 2995386 4493079 4969998 5491541 7454997 8986158 10983082 13479237 14909994 16474623 26958474 32949246 40437711 49423869 80875422 98847738 121313133 148271607 242626266 296543214 444814821 889629642 1334444463 2668888926