Search a number
-
+
112475055753 = 32436115730347
BaseRepresentation
bin110100011000000001…
…0010010011010001001
3101202022120122211120200
41220300002102122021
53320322103241003
6123400442442413
711061144125304
oct1506002223211
9352276584520
10112475055753
1143778267135
121996b803409
13a7b6204638
14562dbbdb3b
152dd45476a3
hex1a30092689

112475055753 has 48 divisors (see below), whose sum is σ = 170049312576. Its totient is φ = 71577717120.

The previous prime is 112475055731. The next prime is 112475055761. The reversal of 112475055753 is 357550574211.

112475055753 is a `hidden beast` number, since 1 + 1 + 2 + 4 + 75 + 0 + 5 + 575 + 3 = 666.

It is not a de Polignac number, because 112475055753 - 210 = 112475054729 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 112475055699 and 112475055708.

It is not an unprimeable number, because it can be changed into a prime (112475055773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3691126 + ... + 3721472.

It is an arithmetic number, because the mean of its divisors is an integer number (3542694012).

Almost surely, 2112475055753 is an apocalyptic number.

It is an amenable number.

112475055753 is a deficient number, since it is larger than the sum of its proper divisors (57574256823).

112475055753 is a wasteful number, since it uses less digits than its factorization.

112475055753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30614 (or 30611 counting only the distinct ones).

The product of its (nonzero) digits is 735000, while the sum is 45.

The spelling of 112475055753 in words is "one hundred twelve billion, four hundred seventy-five million, fifty-five thousand, seven hundred fifty-three".

Divisors: 1 3 9 43 61 129 157 183 387 471 549 1413 2623 6751 7869 9577 20253 23607 28731 30347 60759 86193 91041 273123 411811 1235433 1304921 1851167 3706299 3914763 4764479 5553501 11744289 14293437 16660503 42880311 79600181 204872597 238800543 290633219 614617791 716401629 871899657 1843853373 2615698971 12497228417 37491685251 112475055753