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318328899467076 = 22321092272812
BaseRepresentation
bin100100001100001001011100…
…0111110010111011101000100
31112202002221112022221022022100
41020120102320332113131010
5313211000041230421301
63045010135542232100
7124023334611402321
oct11030227076273504
91482087468838270
10318328899467076
119247a589a28363
122b852334425630
131088139533ba64
1458872b5553b48
1526c06ea0b1286
hex12184b8f97744

318328899467076 has 81 divisors (see below), whose sum is σ = 812144459836983. Its totient is φ = 105132296459520.

The previous prime is 318328899467069. The next prime is 318328899467179. The reversal of 318328899467076 is 670764998823813.

It is a happy number.

The square root of 318328899467076 is 17841774.

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

318328899467076 is a `hidden beast` number, since 3 + 1 + 8 + 3 + 2 + 8 + 89 + 9 + 467 + 0 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 69498466057476 + 248830433409600 = 8336574^2 + 15774360^2 .

It is a junction number, because it is equal to n+sod(n) for n = 318328899466986 and 318328899467004.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 11668506556 + ... + 11668533836.

Almost surely, 2318328899467076 is an apocalyptic number.

318328899467076 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

318328899467076 is the 17841774-th square number.

It is an amenable number.

318328899467076 is an abundant number, since it is smaller than the sum of its proper divisors (493815560369907).

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

318328899467076 is an frugal number, since it uses more digits than its factorization.

318328899467076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54790 (or 27395 counting only the distinct ones).

The product of its (nonzero) digits is 5267275776, while the sum is 81.

The spelling of 318328899467076 in words is "three hundred eighteen trillion, three hundred twenty-eight billion, eight hundred ninety-nine million, four hundred sixty-seven thousand, seventy-six".

Divisors: 1 2 3 4 6 9 12 18 36 109 218 327 436 654 981 1308 1962 3924 11881 23762 27281 35643 47524 54562 71286 81843 106929 109124 142572 163686 213858 245529 327372 427716 491058 982116 2973629 5947258 8920887 11894516 17841774 26762661 35683548 53525322 107050644 324125561 648251122 744252961 972376683 1296502244 1488505922 1944753366 2232758883 2917130049 2977011844 3889506732 4465517766 5834260098 6698276649 8931035532 11668520196 13396553298 26793106596 81123572749 162247145498 243370718247 324494290996 486741436494 730112154741 973482872988 1460224309482 2920448618964 8842469429641 17684938859282 26527408288923 35369877718564 53054816577846 79582224866769 106109633155692 159164449733538 318328899467076