Search a number
-
+
1064141824227 = 319291377516257
BaseRepresentation
bin11110111110000111100…
…10111010000011100011
310202201201212120200221120
433133003302322003203
5114413330301333402
62132505432223323
7136611266156016
oct17370362720343
93681655520846
101064141824227
11380333354889
121522a2b3ab43
137946ab42ba1
143970d00b37d
151ca329063bc
hexf7c3cba0e3

1064141824227 has 64 divisors (see below), whose sum is σ = 1558632499200. Its totient is φ = 643216896000.

The previous prime is 1064141824177. The next prime is 1064141824267. The reversal of 1064141824227 is 7224281414601.

It is not a de Polignac number, because 1064141824227 - 27 = 1064141824099 is a prime.

It is a super-2 number, since 2×10641418242272 (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1064141824267) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 170069083 + ... + 170075339.

It is an arithmetic number, because the mean of its divisors is an integer number (24353632800).

Almost surely, 21064141824227 is an apocalyptic number.

1064141824227 is a deficient number, since it is larger than the sum of its proper divisors (494490674973).

1064141824227 is a wasteful number, since it uses less digits than its factorization.

1064141824227 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7196.

The product of its (nonzero) digits is 172032, while the sum is 42.

The spelling of 1064141824227 in words is "one trillion, sixty-four billion, one hundred forty-one million, eight hundred twenty-four thousand, two hundred twenty-seven".

Divisors: 1 3 19 29 57 87 137 411 551 751 1653 2253 2603 3973 6257 7809 11919 14269 18771 21779 42807 65337 75487 102887 118883 181453 226461 308661 356649 413801 544359 857209 1241403 1954853 2571627 2983723 3447607 4699007 5864559 8951169 10342821 14097021 16286971 24859061 48860913 56690737 74577183 89281133 136271203 170072211 267843399 408813609 472322159 643763959 1416966477 1931291877 2589152857 7767458571 12231515221 18669154811 36694545663 56007464433 354713941409 1064141824227