Search a number
-
+
10521005508 = 223213191183199
BaseRepresentation
bin10011100110001100…
…11100110111000100
31000011020010110022200
421303012130313010
5133021334134013
64455553354500
7521502033306
oct116306346704
930136113280
1010521005508
114509919182
122057568a30
13cb8918560
1471b425976
154189c4e73
hex27319cdc4

10521005508 has 72 divisors (see below), whose sum is σ = 30147936000. Its totient is φ = 3066849216.

The previous prime is 10521005431. The next prime is 10521005519. The reversal of 10521005508 is 80550012501.

10521005508 is a `hidden beast` number, since 1 + 0 + 5 + 2 + 100 + 550 + 8 = 666.

10521005508 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 2×105210055082 (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 23 ways as a sum of consecutive naturals, for example, 582708 + ... + 600491.

Almost surely, 210521005508 is an apocalyptic number.

10521005508 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

10521005508 is an abundant number, since it is smaller than the sum of its proper divisors (19626930492).

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

10521005508 is a wasteful number, since it uses less digits than its factorization.

10521005508 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1183241 (or 1183236 counting only the distinct ones).

The product of its (nonzero) digits is 2000, while the sum is 27.

The spelling of 10521005508 in words is "ten billion, five hundred twenty-one million, five thousand, five hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 19 26 36 38 39 52 57 76 78 114 117 156 171 228 234 247 342 468 494 684 741 988 1482 2223 2964 4446 8892 1183199 2366398 3549597 4732796 7099194 10648791 14198388 15381587 21297582 22480781 30763174 42595164 44961562 46144761 61526348 67442343 89923124 92289522 134884686 138434283 184579044 202327029 269769372 276868566 292250153 404654058 553737132 584500306 809308116 876750459 1169000612 1753500918 2630251377 3507001836 5260502754 10521005508