Search a number
-
+
54330603345 = 3253732630993
BaseRepresentation
bin110010100110010110…
…110011011101010001
312012020101121121121100
4302212112303131101
51342232113301340
640543101215013
73632235336324
oct624626633521
9165211547540
1054330603345
1121050233487
12a643261469
13517b015a05
1428b59427bb
15162eb71830
hexca65b3751

54330603345 has 24 divisors (see below), whose sum is σ = 96718266216. Its totient is φ = 28193177088.

The previous prime is 54330603343. The next prime is 54330603367.

54330603345 is a `hidden beast` number, since 5 + 4 + 3 + 3 + 0 + 603 + 3 + 45 = 666.

54330603345 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 33493392144 + 20837211201 = 183012^2 + 144351^2 .

It is not a de Polignac number, because 54330603345 - 21 = 54330603343 is a prime.

It is not an unprimeable number, because it can be changed into a prime (54330603343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 16313832 + ... + 16317161.

It is an arithmetic number, because the mean of its divisors is an integer number (4029927759).

Almost surely, 254330603345 is an apocalyptic number.

It is an amenable number.

54330603345 is a deficient number, since it is larger than the sum of its proper divisors (42387662871).

54330603345 is a wasteful number, since it uses less digits than its factorization.

54330603345 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32631041 (or 32631038 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 36.

The spelling of 54330603345 in words is "fifty-four billion, three hundred thirty million, six hundred three thousand, three hundred forty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 32630993 97892979 163154965 293678937 489464895 1207346741 1468394685 3622040223 6036733705 10866120669 18110201115 54330603345