Search a number
-
+
9960300000 = 25335571731
BaseRepresentation
bin10010100011010111…
…00001110111100000
3221201011001122222000
421101223201313200
5130344314100000
64324203444000
7501553103340
oct112153416740
927634048860
109960300000
1142513698a2
121b1b826600
13c296ca351
146a6b8ad20
153d466a000
hex251ae1de0

9960300000 has 1152 divisors, whose sum is σ = 45357096960. Its totient is φ = 2073600000.

The previous prime is 9960299977. The next prime is 9960300037. The reversal of 9960300000 is 30699.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 321299985 + ... + 321300015.

It is an arithmetic number, because the mean of its divisors is an integer number (39372480).

Almost surely, 29960300000 is an apocalyptic number.

9960300000 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 9960300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22678548480).

9960300000 is an abundant number, since it is smaller than the sum of its proper divisors (35396796960).

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

9960300000 is a wasteful number, since it uses less digits than its factorization.

9960300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 99 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 1458, while the sum is 27.

The square root of 9960300000 is about 99801.3025967096. The cubic root of 9960300000 is about 2151.5798735787.

Adding to 9960300000 its reverse (30699), we get a palindrome (9960330699).

The spelling of 9960300000 in words is "nine billion, nine hundred sixty million, three hundred thousand".