Search a number
-
+
166632736044160 = 2751387318767653
BaseRepresentation
bin100101111000110100110101…
…000010100011010010000000
3210211222221012212202000000101
4211320310311002203102000
5133320102320411403120
61350222004441332144
750045550352343161
oct4570646502432200
9724887185660011
10166632736044160
1149104601432781
121683265a197054
1371c9526b70349
142d210d315d768
15143e7770a690a
hex978d350a3480

166632736044160 has 64 divisors (see below), whose sum is σ = 398385120341880. Its totient is φ = 66648286347264.

The previous prime is 166632736044149. The next prime is 166632736044163. The reversal of 166632736044160 is 61440637236661.

It can be written as a sum of positive squares in 4 ways, for example, as 159090594324544 + 7542141719616 = 12613112^2 + 2746296^2 .

It is a tau number, because it is divible by the number of its divisors (64).

It is not an unprimeable number, because it can be changed into a prime (166632736044163) 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 7 ways as a sum of consecutive naturals, for example, 505107 + ... + 18262546.

Almost surely, 2166632736044160 is an apocalyptic number.

166632736044160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

166632736044160 is an abundant number, since it is smaller than the sum of its proper divisors (231752384297720).

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

166632736044160 is a wasteful number, since it uses less digits than its factorization.

166632736044160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18781545 (or 18781533 counting only the distinct ones).

The product of its (nonzero) digits is 15676416, while the sum is 55.

The spelling of 166632736044160 in words is "one hundred sixty-six trillion, six hundred thirty-two billion, seven hundred thirty-six million, forty-four thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 13873 27746 55492 69365 110984 138730 221968 277460 443936 554920 887872 1109840 1775744 2219680 4439360 8878720 18767653 37535306 75070612 93838265 150141224 187676530 300282448 375353060 600564896 750706120 1201129792 1501412240 2402259584 3002824480 6005648960 12011297920 260363650069 520727300138 1041454600276 1301818250345 2082909200552 2603636500690 4165818401104 5207273001380 8331636802208 10414546002760 16663273604416 20829092005520 33326547208832 41658184011040 83316368022080 166632736044160