Search a number
-
+
231627523606512 = 243112835572783009
BaseRepresentation
bin110100101010100111111100…
…010000111100011111110000
31010101010101010101010101011120
4310222213330100330133300
5220324441132020402022
62140344114303542240
766534351651300615
oct6452477420743760
91111111111111146
10231627523606512
1167892754616830
1221b8ab70bba980
139c324c6933957
14412ab90c7c50c
151bba26b95ed5c
hexd2a9fc43c7f0

231627523606512 has 160 divisors (see below), whose sum is σ = 656251391151360. Its totient is φ = 69816542453760.

The previous prime is 231627523606511. The next prime is 231627523606547. The reversal of 231627523606512 is 215606325726132.

It is a super-2 number, since 2×2316275236065122 (a number of 30 digits) contains 22 as substring.

It is a plaindrome in base 9.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (231627523606511) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81837664 + ... + 84620672.

It is an arithmetic number, because the mean of its divisors is an integer number (4101571194696).

Almost surely, 2231627523606512 is an apocalyptic number.

231627523606512 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 231627523606512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (328125695575680).

231627523606512 is an abundant number, since it is smaller than the sum of its proper divisors (424623867544848).

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

231627523606512 is a wasteful number, since it uses less digits than its factorization.

231627523606512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2783871 (or 2783865 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 51.

The spelling of 231627523606512 in words is "two hundred thirty-one trillion, six hundred twenty-seven billion, five hundred twenty-three million, six hundred six thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 283 528 557 566 849 1114 1132 1671 1698 2228 2264 3113 3342 3396 4456 4528 6127 6226 6684 6792 8912 9339 12254 12452 13368 13584 18381 18678 24508 24904 26736 36762 37356 49016 49808 73524 74712 98032 147048 149424 157631 294096 315262 472893 630524 945786 1261048 1733941 1891572 2522096 2783009 3467882 3783144 5201823 5566018 6935764 7566288 8349027 10403646 11132036 13871528 16698054 20807292 22264072 27743056 30613099 33396108 41614584 44528144 61226198 66792216 83229168 91839297 122452396 133584432 183678594 244904792 367357188 489809584 734714376 787591547 1469428752 1550136013 1575183094 2362774641 3100272026 3150366188 4650408039 4725549282 6200544052 6300732376 8663507017 9300816078 9451098564 12401088104 12601464752 17051496143 17327014034 18601632156 18902197128 24802176208 25990521051 34102992286 34654028068 37203264312 37804394256 51154488429 51981042102 68205984572 69308056136 74406528624 102308976858 103962084204 136411969144 138616112272 204617953716 207924168408 272823938288 409235907432 415848336816 438688491679 818471814864 877376983358 1316065475037 1754753966716 2632130950074 3509507933432 4825573408469 5264261900148 7019015866864 9651146816938 10528523800296 14476720225407 19302293633876 21057047600592 28953440450814 38604587267752 57906880901628 77209174535504 115813761803256 231627523606512