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3514117661604 = 2232112284032
BaseRepresentation
bin110011001000110001101…
…111000010001110100100
3110102221112220100111122100
4303020301233002032210
5430033403110132404
611250210253132100
7511613053163634
oct63106157021644
913387486314570
103514117661604
111135368897300
12489086a8a030
131c64c27752a4
14c21270a06c4
156162499cd39
hex33231bc23a4

3514117661604 has 81 divisors (see below), whose sum is σ = 9764201913739. Its totient is φ = 1064846647920.

The previous prime is 3514117661573. The next prime is 3514117661609. The reversal of 3514117661604 is 4061667114153.

The square root of 3514117661604 is 1874598.

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

3514117661604 is a `hidden beast` number, since 3 + 5 + 1 + 411 + 76 + 6 + 160 + 4 = 666.

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 3514117661604.

It is not an unprimeable number, because it can be changed into a prime (3514117661609) by changing a digit.

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 26 ways as a sum of consecutive naturals, for example, 123709267 + ... + 123737669.

Almost surely, 23514117661604 is an apocalyptic number.

3514117661604 is the 1874598-th square number.

It is an amenable number.

3514117661604 is an abundant number, since it is smaller than the sum of its proper divisors (6250084252135).

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

3514117661604 is an equidigital number, since it uses as much as digits as its factorization.

3514117661604 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56838 (or 28419 counting only the distinct ones).

The product of its (nonzero) digits is 362880, while the sum is 45.

The spelling of 3514117661604 in words is "three trillion, five hundred fourteen billion, one hundred seventeen million, six hundred sixty-one thousand, six hundred four".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 121 132 198 242 363 396 484 726 1089 1452 2178 4356 28403 56806 85209 113612 170418 255627 312433 340836 511254 624866 937299 1022508 1249732 1874598 2811897 3436763 3749196 5623794 6873526 10310289 11247588 13747052 20620578 30930867 41241156 61861734 123723468 806730409 1613460818 2420191227 3226921636 4840382454 7260573681 8874034499 9680764908 14521147362 17748068998 26622103497 29042294724 35496137996 53244206994 79866310491 97614379489 106488413988 159732620982 195228758978 292843138467 319465241964 390457517956 585686276934 878529415401 1171372553868 1757058830802 3514117661604