Search a number
-
+
6122057136 = 24313175310889
BaseRepresentation
bin1011011001110011…
…10010110110110000
3120210122201201120220
411230321302312300
5100014221312021
62451252533040
7304465425036
oct55471626660
916718651526
106122057136
112661818158
12122a321180
13767463120
14421102556
1525c6e7cc6
hex16ce72db0

6122057136 has 160 divisors (see below), whose sum is σ = 18375698880. Its totient is φ = 1739292672.

The previous prime is 6122057113. The next prime is 6122057141. The reversal of 6122057136 is 6317502216.

It is a junction number, because it is equal to n+sod(n) for n = 6122057097 and 6122057106.

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, 556780 + ... + 567668.

It is an arithmetic number, because the mean of its divisors is an integer number (114848118).

Almost surely, 26122057136 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 6122057136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9187849440).

6122057136 is an abundant number, since it is smaller than the sum of its proper divisors (12253641744).

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

6122057136 is a wasteful number, since it uses less digits than its factorization.

6122057136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10983 (or 10977 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

The square root of 6122057136 is about 78243.5756851641. The cubic root of 6122057136 is about 1829.3597784348.

The spelling of 6122057136 in words is "six billion, one hundred twenty-two million, fifty-seven thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 34 39 48 51 52 53 68 78 102 104 106 136 156 159 204 208 212 221 272 312 318 408 424 442 624 636 663 689 816 848 884 901 1272 1326 1378 1768 1802 2067 2544 2652 2703 2756 3536 3604 4134 5304 5406 5512 7208 8268 10608 10812 10889 11024 11713 14416 16536 21624 21778 23426 32667 33072 35139 43248 43556 46852 65334 70278 87112 93704 130668 140556 141557 174224 185113 187408 261336 281112 283114 370226 424671 522672 555339 562224 566228 577117 740452 849342 1110678 1132456 1154234 1480904 1698684 1731351 2221356 2264912 2308468 2406469 2961808 3397368 3462702 4442712 4616936 4812938 6794736 6925404 7219407 7502521 8885424 9233872 9625876 9810989 13850808 14438814 15005042 19251752 19621978 22507563 27701616 28877628 29432967 30010084 38503504 39243956 45015126 57755256 58865934 60020168 78487912 90030252 115510512 117731868 120040336 127542857 156975824 180060504 235463736 255085714 360121008 382628571 470927472 510171428 765257142 1020342856 1530514284 2040685712 3061028568 6122057136