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10245083524 = 221321722292
BaseRepresentation
bin10011000101010011…
…11001000110000100
3222102222221011111221
421202221321012010
5131440220133044
64412335410124
7511611526114
oct114251710604
928388834457
1010245083524
11438809a985
121b9b083944
13c736cb100
146d291d044
153ee670484
hex262a79184

10245083524 has 81 divisors (see below), whose sum is σ = 20713766157. Its totient is φ = 4430919168.

The previous prime is 10245083509. The next prime is 10245083549. The reversal of 10245083524 is 42538054201.

The square root of 10245083524 is 101218.

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 1273205124 + 8971878400 = 35682^2 + 94720^2 .

It is a Harshad number since it is a multiple of its sum of digits (34).

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 10245083524.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 44738242 + ... + 44738470.

Almost surely, 210245083524 is an apocalyptic number.

10245083524 is the 101218-th square number.

It is an amenable number.

10245083524 is an abundant number, since it is smaller than the sum of its proper divisors (10468682633).

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

10245083524 is a wasteful number, since it uses less digits than its factorization.

10245083524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 522 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 34.

The spelling of 10245083524 in words is "ten billion, two hundred forty-five million, eighty-three thousand, five hundred twenty-four".

Divisors: 1 2 4 13 17 26 34 52 68 169 221 229 289 338 442 458 578 676 884 916 1156 2873 2977 3757 3893 5746 5954 7514 7786 11492 11908 15028 15572 38701 48841 50609 52441 66181 77402 97682 101218 104882 132362 154804 195364 202436 209764 264724 657917 681733 860353 891497 1315834 1363466 1720706 1782994 2631668 2726932 3441412 3565988 8862529 11184589 11589461 15155449 17725058 22369178 23178922 30310898 35450116 44738356 46357844 60621796 150662993 197020837 301325986 394041674 602651972 788083348 2561270881 5122541762 10245083524