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8106121156 = 22725921092
BaseRepresentation
bin1111000110010100…
…11001011111000100
3202220221002121202111
413203022121133010
5113100131334111
63420210150404
7404606615200
oct74312313704
922827077674
108106121156
11348a76a891
1216a2882404
139c251aac3
1456c80db00
153269ada21
hex1e32997c4

8106121156 has 81 divisors (see below), whose sum is σ = 16941592269. Its totient is φ = 3383837856.

The previous prime is 8106121139. The next prime is 8106121171. The reversal of 8106121156 is 6511216018.

The square root of 8106121156 is 90034.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 5649927556 + 2456193600 = 75166^2 + 49560^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 74368030 + ... + 74368138.

Almost surely, 28106121156 is an apocalyptic number.

8106121156 is the 90034-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8106121156

8106121156 is an abundant number, since it is smaller than the sum of its proper divisors (8835471113).

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

8106121156 is a wasteful number, since it uses less digits than its factorization.

8106121156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 177 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 31.

The cubic root of 8106121156 is about 2008.8046121901.

The spelling of 8106121156 in words is "eight billion, one hundred six million, one hundred twenty-one thousand, one hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 59 98 109 118 196 218 236 413 436 763 826 1526 1652 2891 3052 3481 5341 5782 6431 6962 10682 11564 11881 12862 13924 21364 23762 24367 25724 45017 47524 48734 83167 90034 97468 166334 170569 180068 315119 332668 341138 379429 582169 630238 682276 700979 758858 1164338 1260476 1401958 1517716 2328676 2656003 2803916 4906853 5312006 9813706 10624012 18592021 19627412 34347971 37184042 41357761 68695942 74368084 82715522 137391884 165431044 289504327 579008654 1158017308 2026530289 4053060578 8106121156