Search a number
-
+
20982881229120 = 2632528349152433
BaseRepresentation
bin1001100010101011101010…
…01011101001100101000000
32202021221111001220021012200
410301111311023221211000
510222240420043312440
6112343222541553200
74263651233434626
oct461256513514500
982257431807180
1020982881229120
11675a876481aa8
12242a758575800
13b928a5aa2845
14527810d09516
15265c2d7b3c30
hex1315752e9940

20982881229120 has 336 divisors, whose sum is σ = 72576288712512. Its totient is φ = 5564201287680.

The previous prime is 20982881229061. The next prime is 20982881229131. The reversal of 20982881229120 is 2192218828902.

It is a happy number.

20982881229120 is a `hidden beast` number, since 209 + 8 + 288 + 12 + 29 + 120 = 666.

It is a hoax number, since the sum of its digits (54) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 400158424 + ... + 400210856.

Almost surely, 220982881229120 is an apocalyptic number.

20982881229120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20982881229120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36288144356256).

20982881229120 is an abundant number, since it is smaller than the sum of its proper divisors (51593407483392).

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

20982881229120 is a wasteful number, since it uses less digits than its factorization.

20982881229120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53230 (or 53217 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 54.

The spelling of 20982881229120 in words is "twenty trillion, nine hundred eighty-two billion, eight hundred eighty-one million, two hundred twenty-nine thousand, one hundred twenty".