Search a number
-
+
90281608641 = 34733249527
BaseRepresentation
bin101010000010100110…
…1000000010111000001
322122000212202220120000
41110011031000113001
52434344042434031
6105250320110213
76344156004000
oct1240515002701
9278025686500
1090281608641
1135319683904
12155b7165369
13868a280c03
144526484c37
152535e563e6
hex15053405c1

90281608641 has 40 divisors (see below), whose sum is σ = 157277155200. Its totient is φ = 51589474776.

The previous prime is 90281608639. The next prime is 90281608643. The reversal of 90281608641 is 14680618209.

It is an interprime number because it is at equal distance from previous prime (90281608639) and next prime (90281608643).

It is not a de Polignac number, because 90281608641 - 21 = 90281608639 is a prime.

It is not an unprimeable number, because it can be changed into a prime (90281608643) 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 39 ways as a sum of consecutive naturals, for example, 1596981 + ... + 1652546.

It is an arithmetic number, because the mean of its divisors is an integer number (3931928880).

Almost surely, 290281608641 is an apocalyptic number.

It is an amenable number.

90281608641 is a deficient number, since it is larger than the sum of its proper divisors (66995546559).

90281608641 is an equidigital number, since it uses as much as digits as its factorization.

90281608641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3249560 (or 3249537 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 90281608641 in words is "ninety billion, two hundred eighty-one million, six hundred eight thousand, six hundred forty-one".

Divisors: 1 3 7 9 21 27 49 63 81 147 189 343 441 567 1029 1323 3087 3969 9261 27783 3249527 9748581 22746689 29245743 68240067 87737229 159226823 204720201 263211687 477680469 614160603 1114587761 1433041407 1842481809 3343763283 4299124221 10031289849 12897372663 30093869547 90281608641