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2629089684 = 22331316711213
BaseRepresentation
bin1001110010110100…
…1011100110010100
320210020002121001000
42130231023212110
520341021332214
61112514303300
7122102615334
oct23455134624
96706077030
102629089684
11112a063aa1
12614587b30
1332b8b9790
141ad2550c4
15105c29809
hex9cb4b994

2629089684 has 96 divisors (see below), whose sum is σ = 7385091840. Its totient is φ = 804034944.

The previous prime is 2629089667. The next prime is 2629089707. The reversal of 2629089684 is 4869809262.

It is a happy number.

2629089684 is a `hidden beast` number, since 2 + 629 + 0 + 8 + 9 + 6 + 8 + 4 = 666.

2629089684 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×26290896842 = 13824225133030439712, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 2629089684.

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, 228862 + ... + 240074.

It is an arithmetic number, because the mean of its divisors is an integer number (76928040).

Almost surely, 22629089684 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 2629089684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3692545920).

2629089684 is an abundant number, since it is smaller than the sum of its proper divisors (4756002156).

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

2629089684 is a wasteful number, since it uses less digits than its factorization.

2629089684 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11406 (or 11398 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 2629089684 is about 51274.6495258622. The cubic root of 2629089684 is about 1380.1781055568.

The spelling of 2629089684 in words is "two billion, six hundred twenty-nine million, eighty-nine thousand, six hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 108 117 156 167 234 334 351 468 501 668 702 1002 1404 1503 2004 2171 3006 4342 4509 6012 6513 8684 9018 11213 13026 18036 19539 22426 26052 33639 39078 44852 58617 67278 78156 100917 117234 134556 145769 201834 234468 291538 302751 403668 437307 583076 605502 874614 1211004 1311921 1749228 1872571 2623842 3745142 3935763 5247684 5617713 7490284 7871526 11235426 15743052 16853139 22470852 24343423 33706278 48686846 50559417 67412556 73030269 97373692 101118834 146060538 202237668 219090807 292121076 438181614 657272421 876363228 1314544842 2629089684