Search a number
-
+
10058521690 = 257236247529
BaseRepresentation
bin10010101111000100…
…01101110001011010
3221221222212211210101
421113202031301122
5131044440143230
64342033010014
7504155011060
oct112742156132
927858784711
1010058521690
1142a1856248
121b486b390a
13c43b6a5a9
146b5c38030
153dd0bcaca
hex25788dc5a

10058521690 has 32 divisors (see below), whose sum is σ = 21591463680. Its totient is φ = 3298694784.

The previous prime is 10058521639. The next prime is 10058521703. The reversal of 10058521690 is 9612585001.

10058521690 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 2×100585216902 (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, 3122155 + ... + 3125374.

It is an arithmetic number, because the mean of its divisors is an integer number (674733240).

Almost surely, 210058521690 is an apocalyptic number.

10058521690 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

10058521690 is an abundant number, since it is smaller than the sum of its proper divisors (11532941990).

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

10058521690 is a wasteful number, since it uses less digits than its factorization.

10058521690 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6247566.

The product of its (nonzero) digits is 21600, while the sum is 37.

The spelling of 10058521690 in words is "ten billion, fifty-eight million, five hundred twenty-one thousand, six hundred ninety".

Divisors: 1 2 5 7 10 14 23 35 46 70 115 161 230 322 805 1610 6247529 12495058 31237645 43732703 62475290 87465406 143693167 218663515 287386334 437327030 718465835 1005852169 1436931670 2011704338 5029260845 10058521690