Search a number
-
+
10024234248 = 2337187131891
BaseRepresentation
bin10010101010111110…
…11010110100001000
3221212121100212021010
421111133122310020
5131012200443443
64334410043520
7503260404510
oct112537326410
927777325233
1010024234248
114284467616
121b391195a0
13c39a23c72
146b1470840
153da098733
hex2557dad08

10024234248 has 64 divisors (see below), whose sum is σ = 28656875520. Its totient is φ = 2862446400.

The previous prime is 10024234223. The next prime is 10024234267. The reversal of 10024234248 is 84243242001.

10024234248 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×100242342482 (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 298383 + ... + 330273.

It is an arithmetic number, because the mean of its divisors is an integer number (447763680).

Almost surely, 210024234248 is an apocalyptic number.

It is an amenable number.

10024234248 is an abundant number, since it is smaller than the sum of its proper divisors (18632641272).

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

10024234248 is a wasteful number, since it uses less digits than its factorization.

10024234248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33778 (or 33774 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 30.

Adding to 10024234248 its reverse (84243242001), we get a palindrome (94267476249).

The spelling of 10024234248 in words is "ten billion, twenty-four million, two hundred thirty-four thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 1871 3742 5613 7484 11226 13097 14968 22452 26194 31891 39291 44904 52388 63782 78582 95673 104776 127564 157164 191346 223237 255128 314328 382692 446474 669711 765384 892948 1339422 1785896 2678844 5357688 59668061 119336122 179004183 238672244 358008366 417676427 477344488 716016732 835352854 1253029281 1432033464 1670705708 2506058562 3341411416 5012117124 10024234248