Search a number
-
+
54242322324245 = 51117931793173297
BaseRepresentation
bin11000101010101010001100…
…10110101001101100010101
321010001111220201001111000222
430111111012112221230111
524102201234003333440
6311210325011444125
714265610212252536
oct1425250626515425
9233044821044028
1054242322324245
1116313048948530
126100637bb6645
13243604ba80593
14d574b17d668d
15640e798a72b5
hex3155465a9b15

54242322324245 has 32 divisors (see below), whose sum is σ = 71407482491520. Its totient is φ = 39227116195840.

The previous prime is 54242322324227. The next prime is 54242322324259.

54242322324245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54242322324245 - 222 = 54242318129941 is a prime.

It is a super-2 number, since 2×542423223242452 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 54242322324196 and 54242322324205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 312915437 + ... + 313088733.

It is an arithmetic number, because the mean of its divisors is an integer number (2231483827860).

Almost surely, 254242322324245 is an apocalyptic number.

54242322324245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54242322324245 is a deficient number, since it is larger than the sum of its proper divisors (17165160167275).

54242322324245 is a wasteful number, since it uses less digits than its factorization.

54242322324245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205285.

The product of its digits is 3686400, while the sum is 44.

It can be divided in two parts, 5424232 and 2324245, that added together give a palindrome (7748477).

The spelling of 54242322324245 in words is "fifty-four trillion, two hundred forty-two billion, three hundred twenty-two million, three hundred twenty-four thousand, two hundred forty-five".

Divisors: 1 5 11 55 179 895 1969 9845 31793 158965 173297 349723 866485 1748615 1906267 5690947 9531335 28454735 31020163 62600417 155100815 313002085 341221793 1706108965 5509631521 27548157605 60605946731 303029733655 986224042259 4931120211295 10848464464849 54242322324245