Search a number
-
+
9089925664 = 254110168597
BaseRepresentation
bin10000111011100110…
…10100001000100000
3212110111022001211111
420131303110020200
5122104010110124
64101552353104
7441154044001
oct103563241040
925414261744
109089925664
113945031766
121918245794
13b1b2a7451
146233431a8
15383041494
hex21dcd4220

9089925664 has 48 divisors (see below), whose sum is σ = 18514051416. Its totient is φ = 4390144000.

The previous prime is 9089925661. The next prime is 9089925697. The reversal of 9089925664 is 4665299809.

It can be written as a sum of positive squares in 4 ways, for example, as 6162250000 + 2927675664 = 78500^2 + 54108^2 .

It is a junction number, because it is equal to n+sod(n) for n = 9089925599 and 9089925608.

It is not an unprimeable number, because it can be changed into a prime (9089925661) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 98214 + ... + 166810.

Almost surely, 29089925664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9089925664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9257025708).

9089925664 is an abundant number, since it is smaller than the sum of its proper divisors (9424125752).

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

9089925664 is a wasteful number, since it uses less digits than its factorization.

9089925664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68749 (or 68741 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 58.

The square root of 9089925664 is about 95341.1016508620. The cubic root of 9089925664 is about 2086.9887622956.

The spelling of 9089925664 in words is "nine billion, eighty-nine million, nine hundred twenty-five thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 41 82 101 164 202 328 404 656 808 1312 1616 3232 4141 8282 16564 33128 66256 68597 132512 137194 274388 548776 1097552 2195104 2812477 5624954 6928297 11249908 13856594 22499816 27713188 44999632 55426376 89999264 110852752 221705504 284060177 568120354 1136240708 2272481416 4544962832 9089925664