Search a number
-
+
264011444110424 = 23177985132886517
BaseRepresentation
bin111100000001110111110100…
…010101111100010001011000
31021121210020200110211022200102
4330001313310111330101120
5234101030414143013144
62333301103312554532
7106416124462641653
oct7401676425742130
91247706613738612
10264011444110424
117713869648861a
122573b22a552a48
13b44123187746a
14492a31753489a
15207c824664b4e
hexf01df457c458

264011444110424 has 64 divisors (see below), whose sum is σ = 530837587843200. Its totient is φ = 122653560766464.

The previous prime is 264011444110417. The next prime is 264011444110481. The reversal of 264011444110424 is 424011444110462.

264011444110424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 90020414 + ... + 92906930.

It is an arithmetic number, because the mean of its divisors is an integer number (8294337310050).

Almost surely, 2264011444110424 is an apocalyptic number.

It is an amenable number.

264011444110424 is an abundant number, since it is smaller than the sum of its proper divisors (266826143732776).

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

264011444110424 is a wasteful number, since it uses less digits than its factorization.

264011444110424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2895132 (or 2895128 counting only the distinct ones).

The product of its (nonzero) digits is 98304, while the sum is 38.

Adding to 264011444110424 its sum of digits (38), we get a palindrome (264011444110462).

Adding to 264011444110424 its reverse (424011444110462), we get a palindrome (688022888220886).

The spelling of 264011444110424 in words is "two hundred sixty-four trillion, eleven billion, four hundred forty-four million, one hundred ten thousand, four hundred twenty-four".

Divisors: 1 2 4 8 17 34 68 79 136 158 316 632 1343 2686 5372 8513 10744 17026 34052 68104 144721 289442 578884 672527 1157768 1345054 2690108 2886517 5380216 5773034 11432959 11546068 22865918 23092136 45731836 49070789 91463672 98141578 196283156 228034843 392566312 456069686 912139372 1824278744 3876592331 7753184662 15506369324 24572919221 31012738648 49145838442 98291676884 196583353768 417739626757 835479253514 1670958507028 1941260618459 3341917014056 3882521236918 7765042473836 15530084947672 33001430513803 66002861027606 132005722055212 264011444110424