Search a number
-
+
9170796096 = 26327211109271
BaseRepresentation
bin10001000101001111…
…10011111001000000
3212200010110201012200
420202213303321000
5122240210433341
64114001553200
7443155323600
oct104247637100
925603421180
109170796096
113986747930
12193b345800
13b31c80a87
1462dd94c00
1538a1b7db6
hex2229f3e40

9170796096 has 504 divisors, whose sum is σ = 33788177280. Its totient is φ = 2351462400.

The previous prime is 9170796091. The next prime is 9170796113. The reversal of 9170796096 is 6906970719.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (9170796091) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 33840441 + ... + 33840711.

Almost surely, 29170796096 is an apocalyptic number.

9170796096 is a gapful number since it is divisible by the number (96) 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 9170796096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16894088640).

9170796096 is an abundant number, since it is smaller than the sum of its proper divisors (24617381184).

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

9170796096 is a wasteful number, since it uses less digits than its factorization.

9170796096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 423 (or 403 counting only the distinct ones).

The product of its (nonzero) digits is 1285956, while the sum is 54.

The square root of 9170796096 is about 95764.2735888494. The cubic root of 9170796096 is about 2093.1596094580.

The spelling of 9170796096 in words is "nine billion, one hundred seventy million, seven hundred ninety-six thousand, ninety-six".