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374612579817921 = 3241253229692
BaseRepresentation
bin101010100101101010100100…
…1101111111001100111000001
31211010101121112210021002002100
41111023111021233321213001
5343100123030413133141
63404422350545141013
7141622602643622244
oct12513251157714701
91733347483232070
10374612579817921
11a93aa3371a5145
123602251702a769
1313104a78b79893
1468714ba4b125b
152d497ed7810b6
hex154b549bf99c1

374612579817921 has 81 divisors (see below), whose sum is σ = 565479250810747. Its totient is φ = 238972763527680.

The previous prime is 374612579817907. The next prime is 374612579817923. The reversal of 374612579817921 is 129718975216473.

The square root of 374612579817921 is 19354911.

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

374612579817921 is a `hidden beast` number, since 3 + 7 + 4 + 6 + 12 + 579 + 8 + 17 + 9 + 21 = 666.

It can be written as a sum of positive squares in 13 ways, for example, as 350335634735025 + 24276945082896 = 18717255^2 + 4927164^2 .

It is not a de Polignac number, because 374612579817921 - 221 = 374612577720769 is a prime.

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 374612579817921.

It is not an unprimeable number, because it can be changed into a prime (374612579817923) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 126174663325 + ... + 126174666293.

Almost surely, 2374612579817921 is an apocalyptic number.

374612579817921 is the 19354911-st square number.

374612579817921 is the 9677456-th centered octagonal number.

It is an amenable number.

374612579817921 is a deficient number, since it is larger than the sum of its proper divisors (190866670992826).

374612579817921 is an frugal number, since it uses more digits than its factorization.

374612579817921 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6132 (or 3066 counting only the distinct ones).

The product of its digits is 320060160, while the sum is 72.

The spelling of 374612579817921 in words is "three hundred seventy-four trillion, six hundred twelve billion, five hundred seventy-nine million, eight hundred seventeen thousand, nine hundred twenty-one".

Divisors: 1 3 9 41 53 123 159 369 477 1681 2173 2809 2969 5043 6519 8427 8907 15129 19557 25281 26721 89093 115169 121729 157357 267279 345507 365187 472071 801837 1036521 1095561 1416213 4721929 4990889 6451637 8339921 8814961 14165787 14972667 19354911 25019763 26444883 42497361 44918001 58064733 75059289 79334649 264517117 341936761 361413401 467192933 793551351 1025810283 1084240203 1401578799 2380654053 3077430849 3252720609 4204736397 14019407201 14817949441 19154910253 24761225449 42058221603 44453848323 57464730759 74283676347 126174664809 133361544969 172394192277 222851029041 785351320373 1015210243409 2356053961119 3045630730227 7068161883357 9136892190681 41623619979769 124870859939307 374612579817921