Search a number
-
+
9820663020 = 22335717672281
BaseRepresentation
bin10010010010101101…
…10110110011101100
3221100102022101001000
421021112312303230
5130103042204040
64302254520300
7465236154420
oct111126666354
927312271030
109820663020
11418a565533
121aa0b06090
13c067b930c
146923dcb80
153c7286130
hex2495b6cec

9820663020 has 384 divisors, whose sum is σ = 37540177920. Its totient is φ = 2080235520.

The previous prime is 9820663001. The next prime is 9820663049. The reversal of 9820663020 is 203660289.

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

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4304280 + ... + 4306560.

It is an arithmetic number, because the mean of its divisors is an integer number (97760880).

Almost surely, 29820663020 is an apocalyptic number.

9820663020 is a gapful number since it is divisible by the number (90) 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 9820663020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18770088960).

9820663020 is an abundant number, since it is smaller than the sum of its proper divisors (27719514900).

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

9820663020 is a wasteful number, since it uses less digits than its factorization.

9820663020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2390 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 9820663020 is about 99099.2584230578. The cubic root of 9820663020 is about 2141.4779306563.

The spelling of 9820663020 in words is "nine billion, eight hundred twenty million, six hundred sixty-three thousand, twenty".