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118355952841 = 76172592
BaseRepresentation
bin110111000111010010…
…0001000010011001001
3102022111102121100202221
41232032210020103021
53414343110442331
6130212202454041
711356654000000
oct1561644102311
9368442540687
10118355952841
1146215939165
121ab31204321
13b2126cb8b9
145a2ac67c37
15312a9a5711
hex1b8e9084c9

118355952841 has 63 divisors (see below), whose sum is σ = 149210300359. Its totient is φ = 93862120128.

The previous prime is 118355952713. The next prime is 118355952851. The reversal of 118355952841 is 148259553811.

The square root of 118355952841 is 344029.

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., 92145638025 + 26210314816 = 303555^2 + 161896^2 .

It is not a de Polignac number, because 118355952841 - 27 = 118355952713 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (118355952851) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 2006033070 + ... + 2006033128.

Almost surely, 2118355952841 is an apocalyptic number.

118355952841 is the 344029-th square number.

118355952841 is the 172015-th centered octagonal number.

It is an amenable number.

118355952841 is a deficient number, since it is larger than the sum of its proper divisors (30854347518).

118355952841 is an frugal number, since it uses more digits than its factorization.

118355952841 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 194 (or 83 counting only the distinct ones).

The product of its digits is 1728000, while the sum is 52.

The spelling of 118355952841 in words is "one hundred eighteen billion, three hundred fifty-five million, nine hundred fifty-two thousand, eight hundred forty-one".

Divisors: 1 7 17 49 59 119 289 343 413 833 1003 2023 2401 2891 3481 5831 7021 14161 16807 17051 20237 24367 40817 49147 59177 99127 117649 119357 141659 170569 285719 344029 414239 693889 835499 991613 1006009 1193983 2000033 2408203 2899673 4857223 5848493 6941291 7042063 8357881 16857421 20297711 34000561 40939451 49294441 58505167 118001947 142083977 286576157 345061087 409536169 994587839 2006033099 2415427609 6962114873 16907993263 118355952841