Search a number
-
+
113324273536 = 276126095563
BaseRepresentation
bin110100110001010100…
…1110010111110000000
3101211111202121120101011
41221202221302332000
53324042003223121
6124021020250304
711121165301015
oct1514251627600
9354452546334
10113324273536
1144073664011
1219b680a0994
13a8c012a876
1456b08bb70c
152e33d927e1
hex1a62a72f80

113324273536 has 64 divisors (see below), whose sum is σ = 229593452400. Its totient is φ = 55701872640.

The previous prime is 113324273509. The next prime is 113324273539. The reversal of 113324273536 is 635372423311.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113324273539) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20368291 + ... + 20373853.

Almost surely, 2113324273536 is an apocalyptic number.

113324273536 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113324273536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (114796726200).

113324273536 is an abundant number, since it is smaller than the sum of its proper divisors (116269178864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

113324273536 is an equidigital number, since it uses as much as digits as its factorization.

113324273536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8247 (or 8235 counting only the distinct ones).

The product of its digits is 272160, while the sum is 40.

Adding to 113324273536 its reverse (635372423311), we get a palindrome (748696696847).

The spelling of 113324273536 in words is "one hundred thirteen billion, three hundred twenty-four million, two hundred seventy-three thousand, five hundred thirty-six".

Divisors: 1 2 4 8 16 32 61 64 122 128 244 488 976 1952 2609 3904 5218 5563 7808 10436 11126 20872 22252 41744 44504 83488 89008 159149 166976 178016 318298 333952 339343 356032 636596 678686 712064 1273192 1357372 2546384 2714744 5092768 5429488 10185536 10858976 14513867 20371072 21717952 29027734 43435904 58055468 116110936 232221872 464443744 885345887 928887488 1770691774 1857774976 3541383548 7082767096 14165534192 28331068384 56662136768 113324273536