Search a number
-
+
11914207461 = 341321751197
BaseRepresentation
bin10110001100010010…
…00110000011100101
31010202022200110010000
423012021012003211
5143400014114321
65250122451513
7601150043502
oct130611060345
933668613100
1011914207461
115064294452
122386063b99
13117b456a00
148104884a9
1549ae75826
hex2c62460e5

11914207461 has 60 divisors (see below), whose sum is σ = 20406191652. Its totient is φ = 6900401664.

The previous prime is 11914207399. The next prime is 11914207471. The reversal of 11914207461 is 16470241911.

11914207461 is a `hidden beast` number, since 1 + 191 + 4 + 2 + 0 + 7 + 461 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 121550625 + 11792656836 = 11025^2 + 108594^2 .

It is not a de Polignac number, because 11914207461 - 214 = 11914191077 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11914207471) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 207115 + ... + 258311.

Almost surely, 211914207461 is an apocalyptic number.

It is an amenable number.

11914207461 is a deficient number, since it is larger than the sum of its proper divisors (8491984191).

11914207461 is a wasteful number, since it uses less digits than its factorization.

11914207461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51252 (or 51230 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 11914207461 in words is "eleven billion, nine hundred fourteen million, two hundred seven thousand, four hundred sixty-one".

Divisors: 1 3 9 13 17 27 39 51 81 117 153 169 221 351 459 507 663 1053 1377 1521 1989 2873 4563 5967 8619 13689 17901 25857 51197 77571 153591 232713 460773 665561 870349 1382319 1996683 2611047 4146957 5990049 7833141 8652293 11314537 17970147 23499423 25956879 33943611 53910441 70498269 77870637 101830833 147088981 233611911 305492499 441266943 700835733 916477497 1323800829 3971402487 11914207461