Search a number
-
+
10024444458 = 2327677915031
BaseRepresentation
bin10010101011000000…
…01110001000101010
3221212121202112121200
421111200032020222
5131012224210313
64334414345030
7503262241410
oct112540161052
927777675550
1010024444458
1142845a0546
121b391bb176
13c39a98852
146b14c72b0
153da0dab73
hex25580e22a

10024444458 has 96 divisors (see below), whose sum is σ = 25513512960. Its totient is φ = 2785479840.

The previous prime is 10024444421. The next prime is 10024444459. The reversal of 10024444458 is 85444442001.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (10024444459) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 659403 + ... + 674433.

It is an arithmetic number, because the mean of its divisors is an integer number (265765760).

Almost surely, 210024444458 is an apocalyptic number.

10024444458 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10024444458, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12756756480).

10024444458 is an abundant number, since it is smaller than the sum of its proper divisors (15489068502).

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

10024444458 is a wasteful number, since it uses less digits than its factorization.

10024444458 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15192 (or 15189 counting only the distinct ones).

The product of its (nonzero) digits is 81920, while the sum is 36.

Adding to 10024444458 its reverse (85444442001), we get a palindrome (95468886459).

The spelling of 10024444458 in words is "ten billion, twenty-four million, four hundred forty-four thousand, four hundred fifty-eight".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 67 79 126 134 158 201 237 402 469 474 553 603 711 938 1106 1206 1407 1422 1659 2814 3318 4221 4977 5293 8442 9954 10586 15031 15879 30062 31758 37051 45093 47637 74102 90186 95274 105217 111153 135279 210434 222306 270558 315651 333459 631302 666918 946953 1007077 1187449 1893906 2014154 2374898 3021231 3562347 6042462 7049539 7124694 8312143 9063693 10687041 14099078 16624286 18127386 21148617 21374082 24936429 42297234 49872858 63445851 74809287 79559083 126891702 149618574 159118166 238677249 477354498 556913581 716031747 1113827162 1432063494 1670740743 3341481486 5012222229 10024444458