Search a number
-
+
61105014945 = 32513104453017
BaseRepresentation
bin111000111010001001…
…001000100010100001
312211201111212101021200
4320322021020202201
52000120340434240
644023220311413
74262145025422
oct707211104241
9184644771250
1061105014945
1123a07208157
12ba13b42569
1359ba6756a0
142d59539649
1518c9779930
hexe3a2488a1

61105014945 has 24 divisors (see below), whose sum is σ = 114062695656. Its totient is φ = 30082468608.

The previous prime is 61105014907. The next prime is 61105014989. The reversal of 61105014945 is 54941050116.

61105014945 is a `hidden beast` number, since 6 + 110 + 50 + 1 + 494 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 210569121 + 60894445824 = 14511^2 + 246768^2 .

It is not a de Polignac number, because 61105014945 - 26 = 61105014881 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52225924 + ... + 52227093.

It is an arithmetic number, because the mean of its divisors is an integer number (4752612319).

Almost surely, 261105014945 is an apocalyptic number.

61105014945 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

61105014945 is a deficient number, since it is larger than the sum of its proper divisors (52957680711).

61105014945 is a wasteful number, since it uses less digits than its factorization.

61105014945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104453041 (or 104453038 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 36.

The spelling of 61105014945 in words is "sixty-one billion, one hundred five million, fourteen thousand, nine hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 195 585 104453017 313359051 522265085 940077153 1357889221 1566795255 4073667663 4700385765 6789446105 12221002989 20368338315 61105014945