Search a number
-
+
10505611026 = 232920363419
BaseRepresentation
bin10011100100010111…
…01110011100010010
31000010011011100001200
421302023232130102
5133003414023101
64454243412030
7521224135401
oct116213563422
930104140050
1010505611026
114501164069
122052384016
13cb56884b1
14719379638
15417483986
hex2722ee712

10505611026 has 24 divisors (see below), whose sum is σ = 22764989520. Its totient is φ = 3501434616.

The previous prime is 10505611019. The next prime is 10505611037. The reversal of 10505611026 is 62011650501.

It is a happy number.

10505611026 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 2×105056110262 (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 11 ways as a sum of consecutive naturals, for example, 133945 + ... + 197363.

It is an arithmetic number, because the mean of its divisors is an integer number (948541230).

Almost surely, 210505611026 is an apocalyptic number.

10505611026 is an abundant number, since it is smaller than the sum of its proper divisors (12259378494).

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

10505611026 is a wasteful number, since it uses less digits than its factorization.

10505611026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72630 (or 72627 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 27.

The spelling of 10505611026 in words is "ten billion, five hundred five million, six hundred eleven thousand, twenty-six".

Divisors: 1 2 3 6 9 18 9203 18406 27609 55218 63419 82827 126838 165654 190257 380514 570771 1141542 583645057 1167290114 1750935171 3501870342 5252805513 10505611026