Search a number
-
+
45132779295 = 3254157142841
BaseRepresentation
bin101010000010000111…
…111000111100011111
311022111101021202000100
4222002013320330133
51214412442414140
632422252032143
73155301202632
oct520207707437
9138441252010
1045132779295
11181603060aa
1288b6a62653
134343590986
142282153c19
15129241a530
hexa821f8f1f

45132779295 has 48 divisors (see below), whose sum is σ = 80280424224. Its totient is φ = 23442048000.

The previous prime is 45132779287. The next prime is 45132779327. The reversal of 45132779295 is 59297723154.

45132779295 is a `hidden beast` number, since 451 + 32 + 7 + 79 + 2 + 95 = 666.

It is not a de Polignac number, because 45132779295 - 23 = 45132779287 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1032075 + ... + 1074915.

It is an arithmetic number, because the mean of its divisors is an integer number (1672508838).

Almost surely, 245132779295 is an apocalyptic number.

45132779295 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

45132779295 is a deficient number, since it is larger than the sum of its proper divisors (35147644929).

45132779295 is a wasteful number, since it uses less digits than its factorization.

45132779295 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43464 (or 43461 counting only the distinct ones).

The product of its digits is 4762800, while the sum is 54.

The spelling of 45132779295 in words is "forty-five billion, one hundred thirty-two million, seven hundred seventy-nine thousand, two hundred ninety-five".

Divisors: 1 3 5 9 15 41 45 123 205 369 571 615 1713 1845 2855 5139 8565 23411 25695 42841 70233 117055 128523 210699 214205 351165 385569 642615 1053495 1756481 1927845 5269443 8782405 15808329 24462211 26347215 73386633 79041645 122311055 220159899 366933165 1002950651 1100799495 3008851953 5014753255 9026555859 15044259765 45132779295