Search a number
-
+
9774900000 = 25325510861
BaseRepresentation
bin10010001101010000…
…10010001100100000
3221020020012100222100
421012220102030200
5130004333300000
64253542010400
7464142164505
oct110650221440
927206170870
109774900000
114166749058
121a89716a00
13bca1855c8
1468a2c94ac
153c3246a00
hex246a12320

9774900000 has 216 divisors, whose sum is σ = 34747690068. Its totient is φ = 2606400000.

The previous prime is 9774899977. The next prime is 9774900011. The reversal of 9774900000 is 94779.

It can be written as a sum of positive squares in 6 ways, for example, as 1542604176 + 8232295824 = 39276^2 + 90732^2 .

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 (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 894570 + ... + 905430.

Almost surely, 29774900000 is an apocalyptic number.

9774900000 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 9774900000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17373845034).

9774900000 is an abundant number, since it is smaller than the sum of its proper divisors (24972790068).

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

9774900000 is a wasteful number, since it uses less digits than its factorization.

9774900000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10902 (or 10871 counting only the distinct ones).

The product of its (nonzero) digits is 15876, while the sum is 36.

The square root of 9774900000 is about 98868.0939433951. The cubic root of 9774900000 is about 2138.1464137077.

Adding to 9774900000 its reverse (94779), we get a palindrome (9774994779).

The spelling of 9774900000 in words is "nine billion, seven hundred seventy-four million, nine hundred thousand".