Search a number
-
+
21601580796 = 22333731717053
BaseRepresentation
bin10100000111100011…
…011111011011111100
32001202110012000002000
4110013203133123330
5323220001041141
613531300502300
71363210256445
oct240743373374
961673160060
1021601580796
119185590414
12422a3aa990
132063445093
14108ccac2cc
1586667d5b6
hex5078df6fc

21601580796 has 96 divisors (see below), whose sum is σ = 57702550080. Its totient is φ = 6983407872.

The previous prime is 21601580789. The next prime is 21601580801. The reversal of 21601580796 is 69708510612.

21601580796 is a `hidden beast` number, since 2 + 1 + 60 + 1 + 580 + 7 + 9 + 6 = 666.

It is a super-2 number, since 2×216015807962 (a number of 21 digits) contains 22 as substring.

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, 1258206 + ... + 1275258.

It is an arithmetic number, because the mean of its divisors is an integer number (601068230).

Almost surely, 221601580796 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 21601580796, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28851275040).

21601580796 is an abundant number, since it is smaller than the sum of its proper divisors (36100969284).

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

21601580796 is a wasteful number, since it uses less digits than its factorization.

21601580796 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17420 (or 17412 counting only the distinct ones).

The product of its (nonzero) digits is 181440, while the sum is 45.

The spelling of 21601580796 in words is "twenty-one billion, six hundred one million, five hundred eighty thousand, seven hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 27 36 37 54 74 108 111 148 222 317 333 444 634 666 951 999 1268 1332 1902 1998 2853 3804 3996 5706 8559 11412 11729 17053 17118 23458 34106 34236 35187 46916 51159 68212 70374 102318 105561 140748 153477 204636 211122 306954 316683 422244 460431 613908 630961 633366 920862 1261922 1266732 1841724 1892883 2523844 3785766 5405801 5678649 7571532 10811602 11357298 16217403 17035947 21623204 22714596 32434806 34071894 48652209 64869612 68143788 97304418 145956627 194608836 200014637 291913254 400029274 583826508 600043911 800058548 1200087822 1800131733 2400175644 3600263466 5400395199 7200526932 10800790398 21601580796