Search a number
-
+
113848207396 = 22741123132
BaseRepresentation
bin110101000000111100…
…0011100100000100100
3101212212021111011111221
41222001320130200210
53331130120114041
6124145014110124
711140156540000
oct1520170344044
9355767434457
10113848207396
1144312388300
121a09364b344
13a9748427c1
145720303700
152e64d872d1
hex1a81e1c824

113848207396 has 135 divisors (see below), whose sum is σ = 256295625873. Its totient is φ = 44214730560.

The previous prime is 113848207351. The next prime is 113848207411. The reversal of 113848207396 is 693702848311.

The square root of 113848207396 is 337414.

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

It can be written as a sum of positive squares in only one way, i.e., 726302500 + 113121904896 = 26950^2 + 336336^2 .

It is a super-2 number, since 2×1138482073962 (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 363732136 + ... + 363732448.

Almost surely, 2113848207396 is an apocalyptic number.

113848207396 is the 337414-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113848207396

113848207396 is an abundant number, since it is smaller than the sum of its proper divisors (142447418477).

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

113848207396 is an frugal number, since it uses more digits than its factorization.

113848207396 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 680 (or 333 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 113848207396 in words is "one hundred thirteen billion, eight hundred forty-eight million, two hundred seven thousand, three hundred ninety-six".

Divisors: 1 2 4 7 11 14 22 28 44 49 77 98 121 154 196 242 308 313 343 484 539 626 686 847 1078 1252 1372 1694 2156 2191 2401 3388 3443 3773 4382 4802 5929 6886 7546 8764 9604 11858 13772 15092 15337 23716 24101 26411 30674 37873 41503 48202 52822 61348 75746 83006 96404 97969 105644 107359 151492 166012 168707 195938 214718 265111 290521 337414 391876 429436 530222 581042 674828 685783 751513 1060444 1077659 1162084 1180949 1371566 1503026 1855777 2155318 2361898 2743132 3006052 3711554 4310636 4723796 4800481 7423108 7543613 8266643 9600962 11854249 12990439 15087226 16533286 19201924 23708498 25980878 30174452 33066572 33603367 47416996 51961756 52805291 67206734 82979743 90933073 105610582 134413468 165959486 181866146 211221164 235223569 331918972 363732292 369637037 470447138 580858201 739274074 940894276 1161716402 1478548148 2323432804 2587459259 4066007407 5174918518 8132014814 10349837036 16264029628 28462051849 56924103698 113848207396