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123090108964 = 222322922632
BaseRepresentation
bin111001010100010111…
…1100000001000100100
3102202201100202102002121
41302220233200020210
54004042031441324
6132314040115324
711615200443304
oct1625057401044
9382640672077
10123090108964
1148225180789
121ba32765b44
13b7b845b304
145d598c7604
1533063e85e4
hex1ca8be0224

123090108964 has 81 divisors (see below), whose sum is σ = 234103149553. Its totient is φ = 56623092064.

The previous prime is 123090108961. The next prime is 123090108989. The reversal of 123090108964 is 469801090321.

It is a happy number.

The square root of 123090108964 is 350842.

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., 64545467364 + 58544641600 = 254058^2 + 241960^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 123090108964.

It is not an unprimeable number, because it can be changed into a prime (123090108961) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 468023097 + ... + 468023359.

Almost surely, 2123090108964 is an apocalyptic number.

123090108964 is the 350842-nd square number.

It is an amenable number.

123090108964 is a deficient number, since it is larger than the sum of its proper divisors (111013040589).

123090108964 is an equidigital number, since it uses as much as digits as its factorization.

123090108964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 634 (or 317 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 43.

The spelling of 123090108964 in words is "one hundred twenty-three billion, ninety million, one hundred eight thousand, nine hundred sixty-four".

Divisors: 1 2 4 23 29 46 58 92 116 263 526 529 667 841 1052 1058 1334 1682 2116 2668 3364 6049 7627 12098 15254 15341 19343 24196 30508 30682 38686 61364 69169 77372 138338 139127 175421 221183 276676 278254 350842 442366 444889 556508 701684 884732 889778 1590887 1779556 2005901 3181774 4011802 4034683 5087209 6363548 8023604 8069366 10174418 16138732 20348836 36590401 46135723 58171129 73180802 92271446 116342258 117005807 146361604 184542892 232684516 234011614 468023228 1061121629 1337935967 2122243258 2675871934 4244486516 5351743868 30772527241 61545054482 123090108964