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9100084864 = 27132420677
BaseRepresentation
bin10000111100110100…
…00100011010000000
3212111012102012122011
420132122010122000
5122114110203424
64102554222304
7441336305443
oct103632043200
925435365564
109100084864
11394a8404a2
12191b724994
13b20423600
1462482965a
15383d9b694
hex21e684680

9100084864 has 48 divisors (see below), whose sum is σ = 19630938870. Its totient is φ = 4200029184.

The previous prime is 9100084831. The next prime is 9100084867. The reversal of 9100084864 is 4684800019.

It can be written as a sum of positive squares in 3 ways, for example, as 5155240000 + 3944844864 = 71800^2 + 62808^2 .

It is not an unprimeable number, because it can be changed into a prime (9100084867) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 188707 + ... + 231970.

Almost surely, 29100084864 is an apocalyptic number.

It is an amenable number.

9100084864 is an abundant number, since it is smaller than the sum of its proper divisors (10530854006).

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

9100084864 is a wasteful number, since it uses less digits than its factorization.

9100084864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 420717 (or 420692 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 40.

The square root of 9100084864 is about 95394.3649488794. The cubic root of 9100084864 is about 2087.7659685927.

The spelling of 9100084864 in words is "nine billion, one hundred million, eighty-four thousand, eight hundred sixty-four".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 128 169 208 338 416 676 832 1352 1664 2704 5408 10816 21632 420677 841354 1682708 3365416 5468801 6730832 10937602 13461664 21875204 26923328 43750408 53846656 71094413 87500816 142188826 175001632 284377652 350003264 568755304 700006528 1137510608 2275021216 4550042432 9100084864