Search a number
-
+
9680791950 = 23652172919
BaseRepresentation
bin10010000010000010…
…10010100110001110
3220222200010012000000
421001001102212032
5124311240320300
64240340545130
7461620242144
oct110101224616
926880105000
109680791950
114118611305
121a620b21a6
13bb382587b
1467b9cd594
153b9d57c00
hex24105298e

9680791950 has 252 divisors, whose sum is σ = 28709743560. Its totient is φ = 2427045120.

The previous prime is 9680791873. The next prime is 9680791961. The reversal of 9680791950 is 591970869.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 125 ways as a sum of consecutive naturals, for example, 10533591 + ... + 10534509.

Almost surely, 29680791950 is an apocalyptic number.

9680791950 is a gapful number since it is divisible by the number (90) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 9680791950, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14354871780).

9680791950 is an abundant number, since it is smaller than the sum of its proper divisors (19028951610).

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

9680791950 is a wasteful number, since it uses less digits than its factorization.

9680791950 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 983 (or 946 counting only the distinct ones).

The product of its (nonzero) digits is 1224720, while the sum is 54.

The square root of 9680791950 is about 98391.0155959374. The cubic root of 9680791950 is about 2131.2625920372.

The spelling of 9680791950 in words is "nine billion, six hundred eighty million, seven hundred ninety-one thousand, nine hundred fifty".