Search a number
-
+
10090019892 = 2232801300191
BaseRepresentation
bin10010110010110100…
…10111110000110100
3222001012011010012110
421121122113300310
5131131021114032
64345120051020
7505016516421
oct113132276064
928035133173
1010090019892
11430860a317
121b57163a70
13c4a548494
146ba0b6d48
153e0c407cc
hex259697c34

10090019892 has 24 divisors (see below), whose sum is σ = 23551863552. Its totient is φ = 3362128000.

The previous prime is 10090019879. The next prime is 10090019899. The reversal of 10090019892 is 29891009001.

It is a happy number.

10090019892 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 10090019892.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10090019899) 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 7 ways as a sum of consecutive naturals, for example, 116484 + ... + 183707.

It is an arithmetic number, because the mean of its divisors is an integer number (981327648).

Almost surely, 210090019892 is an apocalyptic number.

10090019892 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

10090019892 is an abundant number, since it is smaller than the sum of its proper divisors (13461843660).

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

10090019892 is a wasteful number, since it uses less digits than its factorization.

10090019892 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 302999 (or 302997 counting only the distinct ones).

The product of its (nonzero) digits is 11664, while the sum is 39.

The spelling of 10090019892 in words is "ten billion, ninety million, nineteen thousand, eight hundred ninety-two".

Divisors: 1 2 3 4 6 12 2801 5602 8403 11204 16806 33612 300191 600382 900573 1200764 1801146 3602292 840834991 1681669982 2522504973 3363339964 5045009946 10090019892