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20660248080 = 2432528694789
BaseRepresentation
bin10011001111011100…
…100101111000010000
31222022211220100100100
4103033130211320100
5314303010414310
613254032452400
71330660132263
oct231734457020
958284810310
1020660248080
11884219819a
1240070aa100
131c43409384
14dddc72cda
1580dbd9ec0
hex4cf725e10

20660248080 has 60 divisors (see below), whose sum is σ = 69384002220. Its totient is φ = 5509399296.

The previous prime is 20660248079. The next prime is 20660248129. The reversal of 20660248080 is 8084206602.

20660248080 is a `hidden beast` number, since 2 + 0 + 6 + 602 + 48 + 0 + 8 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 8074100736 + 12586147344 = 89856^2 + 112188^2 .

It is a tau number, because it is divible by the number of its divisors (60).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 14346675 + ... + 14348114.

It is an arithmetic number, because the mean of its divisors is an integer number (1156400037).

Almost surely, 220660248080 is an apocalyptic number.

20660248080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

20660248080 is an abundant number, since it is smaller than the sum of its proper divisors (48723754140).

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

20660248080 is a wasteful number, since it uses less digits than its factorization.

20660248080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28694808 (or 28694799 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The spelling of 20660248080 in words is "twenty billion, six hundred sixty million, two hundred forty-eight thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 36 40 45 48 60 72 80 90 120 144 180 240 360 720 28694789 57389578 86084367 114779156 143473945 172168734 229558312 258253101 286947890 344337468 430421835 459116624 516506202 573895780 688674936 860843670 1033012404 1147791560 1291265505 1377349872 1721687340 2066024808 2295583120 2582531010 3443374680 4132049616 5165062020 6886749360 10330124040 20660248080