Search a number
-
+
3718745844025 = 521925323832
BaseRepresentation
bin110110000111010110100…
…001100110100100111001
3111011111201210101012212111
4312013112201212210321
5441411442414002100
611524211313212321
7532445663062102
oct66072641464471
914144653335774
103718745844025
111204125099453
125008745610a1
1320c8a389b334
14cbdb9ad73a9
1566aee3d06ba
hex361d6866939

3718745844025 has 81 divisors (see below), whose sum is σ = 4973257758189. Its totient is φ = 2758020258240.

The previous prime is 3718745844007. The next prime is 3718745844031. The reversal of 3718745844025 is 5204485478173.

It is a happy number.

The square root of 3718745844025 is 1928405.

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

3718745844025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 28013051641 + 3690732792384 = 167371^2 + 1921128^2 .

It is not a de Polignac number, because 3718745844025 - 227 = 3718611626297 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 9709518984 + ... + 9709519366.

Almost surely, 23718745844025 is an apocalyptic number.

3718745844025 is the 1928405-th square number.

3718745844025 is the 964203-rd centered octagonal number.

It is an amenable number.

3718745844025 is a deficient number, since it is larger than the sum of its proper divisors (1254511914164).

3718745844025 is an frugal number, since it uses more digits than its factorization.

3718745844025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 920 (or 460 counting only the distinct ones).

The product of its (nonzero) digits is 30105600, while the sum is 58.

The spelling of 3718745844025 in words is "three trillion, seven hundred eighteen billion, seven hundred forty-five million, eight hundred forty-four thousand, twenty-five".

Divisors: 1 5 19 25 53 95 265 361 383 475 1007 1325 1805 1915 2809 5035 7277 9025 9575 14045 19133 20299 25175 36385 53371 70225 95665 101495 138263 146689 181925 266855 385681 478325 507475 691315 733445 1014049 1075847 1334275 1928405 2787091 3456575 3667225 5070245 5379235 7327939 7774517 9642025 13935455 20441093 25351225 26896175 36639695 38872585 52954729 69677275 102205465 147715823 183198475 194362925 264773645 388380767 412049401 511027325 738579115 1323868225 1941903835 2060247005 2806600637 3692895575 7828938619 9709519175 10301235025 14033003185 39144693095 70165015925 148749833761 195723465475 743749168805 3718745844025