Search a number
-
+
2090574757924 = 222929722572
BaseRepresentation
bin11110011010111111111…
…101110100000000100100
321101212010202020021201221
4132122333331310000210
5233222444114223144
64240221412230124
7304016251146502
oct36327775640044
97355122207657
102090574757924
11736675a4a024
1229920130b344
131221a9484aa3
1473281c43672
15395a9a3cd84
hex1e6bff74024

2090574757924 has 81 divisors (see below), whose sum is σ = 3843430816953. Its totient is φ = 994951888896.

The previous prime is 2090574757883. The next prime is 2090574757933. The reversal of 2090574757924 is 4297574750902.

The square root of 2090574757924 is 1445882.

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

It can be written as a sum of positive squares in 13 ways, for example, as 47619095524 + 2042955662400 = 218218^2 + 1429320^2 .

It is a Duffinian number.

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, 8134532004 + ... + 8134532260.

Almost surely, 22090574757924 is an apocalyptic number.

2090574757924 is the 1445882-nd square number.

It is an amenable number.

2090574757924 is a deficient number, since it is larger than the sum of its proper divisors (1752856059029).

2090574757924 is an frugal number, since it uses more digits than its factorization.

2090574757924 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 385 counting only the distinct ones).

The product of its (nonzero) digits is 44452800, while the sum is 61.

The spelling of 2090574757924 in words is "two trillion, ninety billion, five hundred seventy-four million, seven hundred fifty-seven thousand, nine hundred twenty-four".

Divisors: 1 2 4 29 58 97 116 194 257 388 514 841 1028 1682 2813 3364 5626 7453 9409 11252 14906 18818 24929 29812 37636 49858 66049 81577 99716 132098 163154 216137 264196 272861 326308 432274 545722 722941 864548 1091444 1445882 1915421 2418113 2891764 3830842 4836226 6406753 7661684 7912969 9672452 12813506 15825938 20965289 25627012 31651876 41930578 55547209 70125277 83861156 111094418 140250554 185795837 222188836 280501108 371591674 621455041 743183348 1242910082 2033633033 2485820164 4067266066 5388079273 8134532132 10776158546 18022196189 21552317092 36044392378 72088784756 522643689481 1045287378962 2090574757924