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162442256121 = 3289202799321
BaseRepresentation
bin1001011101001001010…
…0000001111011111001
3120112021212202121120100
42113102110001323321
510130140204143441
6202342553150013
714510320252305
oct2272224017371
9515255677510
10162442256121
1162989467352
12275956bb309
131241a22bca2
147c10012d05
15435b0adcb6
hex25d2501ef9

162442256121 has 12 divisors (see below), whose sum is σ = 237275206740. Its totient is φ = 107078040960.

The previous prime is 162442256117. The next prime is 162442256129. The reversal of 162442256121 is 121652244261.

162442256121 is a `hidden beast` number, since 1 + 62 + 4 + 422 + 56 + 121 = 666.

162442256121 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 2 ways, for example, as 8711608896 + 153730647225 = 93336^2 + 392085^2 .

It is not a de Polignac number, because 162442256121 - 22 = 162442256117 is a prime.

It is not an unprimeable number, because it can be changed into a prime (162442256129) 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 11 ways as a sum of consecutive naturals, for example, 101398860 + ... + 101400461.

It is an arithmetic number, because the mean of its divisors is an integer number (19772933895).

Almost surely, 2162442256121 is an apocalyptic number.

It is an amenable number.

162442256121 is a deficient number, since it is larger than the sum of its proper divisors (74832950619).

162442256121 is a wasteful number, since it uses less digits than its factorization.

162442256121 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 202799416 (or 202799413 counting only the distinct ones).

The product of its digits is 46080, while the sum is 36.

The spelling of 162442256121 in words is "one hundred sixty-two billion, four hundred forty-two million, two hundred fifty-six thousand, one hundred twenty-one".

Divisors: 1 3 9 89 267 801 202799321 608397963 1825193889 18049139569 54147418707 162442256121