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113625623056 = 241124721632
BaseRepresentation
bin110100111010010011…
…1010110101000010000
3101212021202122201012111
41221310213112220100
53330201124414211
6124110543235104
711131514601031
oct1516447265020
9355252581174
10113625623056
114420877a400
121a030ba8a94
13a93a6ab9aa
1456dc922a88
152e5056b421
hex1a749d6a10

113625623056 has 135 divisors (see below), whose sum is σ = 248766898863. Its totient is φ = 50238999360.

The previous prime is 113625623053. The next prime is 113625623149. The reversal of 113625623056 is 650326526311.

The square root of 113625623056 is 337084.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (113625623051) 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 26 ways as a sum of consecutive naturals, for example, 697089631 + ... + 697089793.

Almost surely, 2113625623056 is an apocalyptic number.

113625623056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

113625623056 is the 337084-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113625623056

113625623056 is an abundant number, since it is smaller than the sum of its proper divisors (135141275807).

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

113625623056 is an equidigital number, since it uses as much as digits as its factorization.

113625623056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450 (or 223 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 40.

The spelling of 113625623056 in words is "one hundred thirteen billion, six hundred twenty-five million, six hundred twenty-three thousand, fifty-six".

Divisors: 1 2 4 8 11 16 22 44 47 88 94 121 163 176 188 242 326 376 484 517 652 752 968 1034 1304 1793 1936 2068 2209 2608 3586 4136 4418 5687 7172 7661 8272 8836 11374 14344 15322 17672 19723 22748 24299 26569 28688 30644 35344 39446 45496 48598 53138 61288 78892 84271 90992 97196 106276 122576 157784 168542 194392 212552 267289 292259 315568 337084 360067 388784 425104 534578 584518 674168 720134 926981 1069156 1169036 1248743 1348336 1440268 1853962 2138312 2338072 2497486 2880536 3214849 3707924 3960737 4276624 4676144 4994972 5761072 6429698 7415848 7921474 9989944 12859396 13736173 14831696 15842948 19979888 25718792 27472346 31685896 43568107 51437584 54944692 58690921 63371792 87136214 109889384 117381842 151097903 174272428 219778768 234763684 302195806 348544856 469527368 604391612 645600131 697089712 939054736 1208783224 1291200262 2417566448 2582400524 5164801048 7101601441 10329602096 14203202882 28406405764 56812811528 113625623056