Search a number
-
+
131556168516 = 2231729100922039
BaseRepresentation
bin111101010000101011…
…0111101001101000100
3110120120101010210111210
41322201112331031010
54123411334343031
6140234105131420
712335040660543
oct1724126751504
9416511123453
10131556168516
115087a033613
12215b5a89b70
13c537401ac6
14652003015a
15364e7a5746
hex1ea15bd344

131556168516 has 96 divisors (see below), whose sum is σ = 336577248000. Its totient is φ = 39808032768.

The previous prime is 131556168509. The next prime is 131556168521. The reversal of 131556168516 is 615861655131.

It is a super-2 number, since 2×1315561685162 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5958225 + ... + 5980263.

It is an arithmetic number, because the mean of its divisors is an integer number (3506013000).

Almost surely, 2131556168516 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 131556168516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168288624000).

131556168516 is an abundant number, since it is smaller than the sum of its proper divisors (205021079484).

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

131556168516 is a wasteful number, since it uses less digits than its factorization.

131556168516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23101 (or 23099 counting only the distinct ones).

The product of its digits is 648000, while the sum is 48.

The spelling of 131556168516 in words is "one hundred thirty-one billion, five hundred fifty-six million, one hundred sixty-eight thousand, five hundred sixteen".

Divisors: 1 2 3 4 6 12 17 29 34 51 58 68 87 102 116 174 204 348 493 986 1009 1479 1972 2018 2958 3027 4036 5916 6054 12108 17153 22039 29261 34306 44078 51459 58522 66117 68612 87783 88156 102918 117044 132234 175566 205836 264468 351132 374663 497437 639131 749326 994874 1123989 1278262 1492311 1498652 1917393 1989748 2247978 2556524 2984622 3834786 4495956 5969244 7669572 10865227 21730454 22237351 32595681 43460908 44474702 65191362 66712053 88949404 130382724 133424106 266848212 378034967 644883179 756069934 1134104901 1289766358 1512139868 1934649537 2268209802 2579532716 3869299074 4536419604 7738598148 10963014043 21926028086 32889042129 43852056172 65778084258 131556168516