Search a number
-
+
10066189374 = 2324147290209
BaseRepresentation
bin10010101111111110…
…11101110000111110
3221222112022101212200
421113333131300332
5131103421024444
64342505212330
7504310124613
oct112777356076
927875271780
1010066189374
1142a611307a
121b4b1910a6
13c45623697
146b6c7250a
153ddad4969
hex257fddc3e

10066189374 has 48 divisors (see below), whose sum is σ = 22817471040. Its totient is φ = 3203896320.

The previous prime is 10066189363. The next prime is 10066189387. The reversal of 10066189374 is 47398166001.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 110419 + ... + 179790.

It is an arithmetic number, because the mean of its divisors is an integer number (475363980).

Almost surely, 210066189374 is an apocalyptic number.

10066189374 is an abundant number, since it is smaller than the sum of its proper divisors (12751281666).

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

10066189374 is a wasteful number, since it uses less digits than its factorization.

10066189374 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 290305 (or 290302 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 10066189374 in words is "ten billion, sixty-six million, one hundred eighty-nine thousand, three hundred seventy-four".

Divisors: 1 2 3 6 9 18 41 47 82 94 123 141 246 282 369 423 738 846 1927 3854 5781 11562 17343 34686 290209 580418 870627 1741254 2611881 5223762 11898569 13639823 23797138 27279646 35695707 40919469 71391414 81838938 107087121 122758407 214174242 245516814 559232743 1118465486 1677698229 3355396458 5033094687 10066189374