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112646262053 = 13173713775989
BaseRepresentation
bin110100011101000111…
…1011000110100100101
3101202202111211000110202
41220322033120310211
53321144420341203
6123425440200245
711065323300113
oct1507217306445
9352674730422
10112646262053
1143855972a46
12199b9009085
13a812819a40
145648828ab3
152de45b5388
hex1a3a3d8d25

112646262053 has 16 divisors (see below), whose sum is σ = 131918880240. Its totient is φ = 95219629056.

The previous prime is 112646262049. The next prime is 112646262073. The reversal of 112646262053 is 350262646211.

It can be written as a sum of positive squares in 8 ways, for example, as 580665409 + 112065596644 = 24097^2 + 334762^2 .

It is not a de Polignac number, because 112646262053 - 22 = 112646262049 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 112646261998 and 112646262016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (112646262073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6879818 + ... + 6896171.

It is an arithmetic number, because the mean of its divisors is an integer number (8244930015).

Almost surely, 2112646262053 is an apocalyptic number.

112646262053 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

112646262053 is a deficient number, since it is larger than the sum of its proper divisors (19272618187).

112646262053 is a wasteful number, since it uses less digits than its factorization.

112646262053 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13776056.

The product of its (nonzero) digits is 103680, while the sum is 38.

The spelling of 112646262053 in words is "one hundred twelve billion, six hundred forty-six million, two hundred sixty-two thousand, fifty-three".

Divisors: 1 13 17 37 221 481 629 8177 13775989 179087857 234191813 509711593 3044493569 6626250709 8665097081 112646262053