Search a number
-
+
9116699040 = 25365471663
BaseRepresentation
bin10000111110110010…
…11100100110100000
3212112100200022000000
420133121130212200
5122132333332130
64104350300000
7441630443331
oct103731344640
925470608000
109116699040
113959158a19
1219251b7600
13b239bc897
14626b12288
1538557e260
hex21f65c9a0

9116699040 has 336 divisors, whose sum is σ = 32999436288. Its totient is φ = 2377963008.

The previous prime is 9116699029. The next prime is 9116699093. The reversal of 9116699040 is 409966119.

It is a super-2 number, since 2×91166990402 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 5481249 + ... + 5482911.

It is an arithmetic number, because the mean of its divisors is an integer number (98212608).

Almost surely, 29116699040 is an apocalyptic number.

9116699040 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 9116699040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16499718144).

9116699040 is an abundant number, since it is smaller than the sum of its proper divisors (23882737248).

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

9116699040 is a wasteful number, since it uses less digits than its factorization.

9116699040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1743 (or 1720 counting only the distinct ones).

The product of its (nonzero) digits is 104976, while the sum is 45.

The square root of 9116699040 is about 95481.4067763981. The cubic root of 9116699040 is about 2089.0357524796.

The spelling of 9116699040 in words is "nine billion, one hundred sixteen million, six hundred ninety-nine thousand, forty".