Search a number
-
+
9097837056 = 29347211237
BaseRepresentation
bin10000111100100010…
…11111101000000000
3212111001012000020000
420132101133220000
5122113021241211
64102434120000
7441311224200
oct103621375000
925431160200
109097837056
113949545700
12191aa20000
13b1cb17449
14624402400
15383aa5656
hex21e45fa00

9097837056 has 900 divisors, whose sum is σ = 35659159074. Its totient is φ = 2299207680.

The previous prime is 9097837027. The next prime is 9097837061. The reversal of 9097837056 is 6507387909.

It can be written as a sum of positive squares in only one way, i.e., 6024243456 + 3073593600 = 77616^2 + 55440^2 .

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

It is a junction number, because it is equal to n+sod(n) for n = 9097836993 and 9097837011.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 245887470 + ... + 245887506.

Almost surely, 29097837056 is an apocalyptic number.

9097837056 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 9097837056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17829579537).

9097837056 is an abundant number, since it is smaller than the sum of its proper divisors (26561322018).

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

9097837056 is a wasteful number, since it uses less digits than its factorization.

9097837056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 2857680, while the sum is 54.

The square root of 9097837056 is about 95382.5825609686. The cubic root of 9097837056 is about 2087.5940550496.

The spelling of 9097837056 in words is "nine billion, ninety-seven million, eight hundred thirty-seven thousand, fifty-six".