Search a number
-
+
112350475446 = 231121677091307
BaseRepresentation
bin110100010100010011…
…1000011010010110110
3101201222220020111112020
41220220213003102312
53320043210203241
6123340232334010
711055102166356
oct1505047032266
9351886214466
10112350475446
1143713a07100
1219935b44306
13a796465991
14561b430b66
152dc8639b66
hex1a289c34b6

112350475446 has 96 divisors (see below), whose sum is σ = 249005111040. Its totient is φ = 33768144960.

The previous prime is 112350475429. The next prime is 112350475519. The reversal of 112350475446 is 644574053211.

It is a junction number, because it is equal to n+sod(n) for n = 112350475398 and 112350475407.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 85959925 + ... + 85961231.

It is an arithmetic number, because the mean of its divisors is an integer number (2593803240).

Almost surely, 2112350475446 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 112350475446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124502555520).

112350475446 is an abundant number, since it is smaller than the sum of its proper divisors (136654635594).

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

112350475446 is a wasteful number, since it uses less digits than its factorization.

112350475446 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2210 (or 2199 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 42.

The spelling of 112350475446 in words is "one hundred twelve billion, three hundred fifty million, four hundred seventy-five thousand, four hundred forty-six".

Divisors: 1 2 3 6 11 22 33 66 121 167 242 334 363 501 709 726 1002 1307 1418 1837 2127 2614 3674 3921 4254 5511 7799 7842 11022 14377 15598 20207 23397 28754 40414 43131 46794 60621 85789 86262 118403 121242 158147 171578 218269 236806 257367 316294 355209 436538 474441 514734 654807 710418 926663 948882 1302433 1309614 1853326 2400959 2604866 2779989 3907299 4801918 5559978 7202877 7814598 10193293 14326763 14405754 20386586 26410549 28653526 30579879 42980289 52821098 61159758 79231647 85960578 112126223 154752721 158463294 224252446 309505442 336378669 464258163 672757338 928516326 1702279931 3404559862 5106839793 10213679586 18725079241 37450158482 56175237723 112350475446