Search a number
-
+
9869080320 = 2832511194099
BaseRepresentation
bin10010011000011111…
…00011011100000000
3221110210102020002100
421030033203130000
5130202441032240
64311144350400
7466364540631
oct111417433400
927423366070
109869080320
114204925130
121ab5175400
13c1383c1c8
14698a03888
153cb64be30
hex24c3e3700

9869080320 has 432 divisors, whose sum is σ = 39220272000. Its totient is φ = 2266030080.

The previous prime is 9869080307. The next prime is 9869080343. The reversal of 9869080320 is 230809689.

It is a super-2 number, since 2×98690803202 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 2405631 + ... + 2409729.

Almost surely, 29869080320 is an apocalyptic number.

9869080320 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 9869080320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19610136000).

9869080320 is an abundant number, since it is smaller than the sum of its proper divisors (29351191680).

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

9869080320 is a wasteful number, since it uses less digits than its factorization.

9869080320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4139 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 45.

The square root of 9869080320 is about 99343.2449641142. The cubic root of 9869080320 is about 2144.9914290495.

The spelling of 9869080320 in words is "nine billion, eight hundred sixty-nine million, eighty thousand, three hundred twenty".