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54969696945 = 32517371942049
BaseRepresentation
bin110011001100011100…
…110000001010110001
312020212221011221012200
4303030130300022301
51400034220300240
641130331213413
73654125500062
oct631434601261
9166787157180
1054969696945
1121348a62a09
12a7a12a7269
13525054b6c7
142936784569
15166ad12930
hexccc7302b1

54969696945 has 48 divisors (see below), whose sum is σ = 103612251600. Its totient is φ = 26846871552.

The previous prime is 54969696863. The next prime is 54969696983.

54969696945 is a `hidden beast` number, since 5 + 496 + 9 + 6 + 96 + 9 + 45 = 666.

54969696945 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 8 ways, for example, as 21107440656 + 33862256289 = 145284^2 + 184017^2 .

It is not a de Polignac number, because 54969696945 - 29 = 54969696433 is a prime.

It is an alternating number because its digits alternate between odd and even.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 942720 + ... + 999329.

It is an arithmetic number, because the mean of its divisors is an integer number (2158588575).

Almost surely, 254969696945 is an apocalyptic number.

It is an amenable number.

54969696945 is a deficient number, since it is larger than the sum of its proper divisors (48642554655).

54969696945 is a wasteful number, since it uses less digits than its factorization.

54969696945 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1942114 (or 1942111 counting only the distinct ones).

The product of its digits is 566870400, while the sum is 72.

The spelling of 54969696945 in words is "fifty-four billion, nine hundred sixty-nine million, six hundred ninety-six thousand, nine hundred forty-five".

Divisors: 1 3 5 9 15 17 37 45 51 85 111 153 185 255 333 555 629 765 1665 1887 3145 5661 9435 28305 1942049 5826147 9710245 17478441 29130735 33014833 71855813 87392205 99044499 165074165 215567439 297133497 359279065 495222495 646702317 1077837195 1221548821 1485667485 3233511585 3664646463 6107744105 10993939389 18323232315 54969696945