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842260246057 = 71210111171481
BaseRepresentation
bin11000100000110101001…
…11110110111000101001
32222112000120020200012001
430100122213312320221
5102244422110333212
61442532400051001
7114564664652326
oct14203247667051
92875016220161
10842260246057
112a5222a5108a
1211729b303a61
136156a395529
142caa0bb3b4d
1516d98446657
hexc41a9f6e29

842260246057 has 24 divisors (see below), whose sum is σ = 864103912776. Its totient is φ = 820884960000.

The previous prime is 842260245971. The next prime is 842260246097. The reversal of 842260246057 is 750642062248.

842260246057 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 106158020761 + 736102225296 = 325819^2 + 857964^2 .

It is not a de Polignac number, because 842260246057 - 27 = 842260245929 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 842260245998 and 842260246016.

It is not an unprimeable number, because it can be changed into a prime (842260246097) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 568709757 + ... + 568711237.

It is an arithmetic number, because the mean of its divisors is an integer number (36004329699).

Almost surely, 2842260246057 is an apocalyptic number.

It is an amenable number.

842260246057 is a deficient number, since it is larger than the sum of its proper divisors (21843666719).

842260246057 is a wasteful number, since it uses less digits than its factorization.

842260246057 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2841 (or 2770 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 46.

The spelling of 842260246057 in words is "eight hundred forty-two billion, two hundred sixty million, two hundred forty-six thousand, fifty-seven".

Divisors: 1 71 101 1117 1481 5041 7171 79307 105151 112817 149581 509141 1654277 5630797 7465721 8010007 10620251 117453667 167081977 568710497 754037821 8339210357 11862820367 842260246057