Search a number
-
+
10253992644 = 22327224112
BaseRepresentation
bin10011000110010111…
…11000001011000100
3222110121200210112100
421203023320023010
5132000010231034
64413254352100
7512050333200
oct114313701304
928417623470
1010253992644
114392125495
121ba205b630
13c754ca28c
146d3b9bb00
15400330099
hex2632f82c4

10253992644 has 81 divisors (see below), whose sum is σ = 30164132271. Its totient is φ = 2928497040.

The previous prime is 10253992607. The next prime is 10253992657. The reversal of 10253992644 is 44629935201.

The square root of 10253992644 is 101262.

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

10253992644 is a `hidden beast` number, since 102 + 539 + 9 + 2 + 6 + 4 + 4 = 666.

It is a super-2 number, since 2×102539926442 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 10253992644.

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, 4251799 + ... + 4254209.

Almost surely, 210253992644 is an apocalyptic number.

10253992644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10253992644 is the 101262-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 10253992644

10253992644 is an abundant number, since it is smaller than the sum of its proper divisors (19910139627).

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

10253992644 is an equidigital number, since it uses as much as digits as its factorization.

10253992644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4846 (or 2423 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 10253992644 in words is "ten billion, two hundred fifty-three million, nine hundred ninety-two thousand, six hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2411 4822 7233 9644 14466 16877 21699 28932 33754 43398 50631 67508 86796 101262 118139 151893 202524 236278 303786 354417 472556 607572 708834 1063251 1417668 2126502 4253004 5812921 11625842 17438763 23251684 34877526 40690447 52316289 69755052 81380894 104632578 122071341 162761788 209265156 244142682 284833129 366214023 488285364 569666258 732428046 854499387 1139332516 1464856092 1708998774 2563498161 3417997548 5126996322 10253992644