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10024241328 = 2432199349813
BaseRepresentation
bin10010101010111110…
…11100100010110000
3221212121101012222100
421111133130202300
5131012201210303
64334410140400
7503260434243
oct112537344260
927777335870
1010024241328
114284471972
121b39121700
13c39a2725a
146b147325a
153da09a8a3
hex2557dc8b0

10024241328 has 60 divisors (see below), whose sum is σ = 28195008400. Its totient is φ = 3324613248.

The previous prime is 10024241323. The next prime is 10024241329. The reversal of 10024241328 is 82314242001.

10024241328 is a `hidden beast` number, since 1 + 0 + 0 + 242 + 413 + 2 + 8 = 666.

10024241328 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (10024241323) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 146251 + ... + 203562.

Almost surely, 210024241328 is an apocalyptic number.

10024241328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10024241328 is an abundant number, since it is smaller than the sum of its proper divisors (18170767072).

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

10024241328 is a wasteful number, since it uses less digits than its factorization.

10024241328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 350026 (or 350017 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 10024241328 its reverse (82314242001), we get a palindrome (92338483329).

The spelling of 10024241328 in words is "ten billion, twenty-four million, two hundred forty-one thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 199 398 597 796 1194 1592 1791 2388 3184 3582 4776 7164 9552 14328 28656 349813 699626 1049439 1399252 2098878 2798504 3148317 4197756 5597008 6296634 8395512 12593268 16791024 25186536 50373072 69612787 139225574 208838361 278451148 417676722 556902296 626515083 835353444 1113804592 1253030166 1670706888 2506060332 3341413776 5012120664 10024241328