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9085083264 = 27327886357
BaseRepresentation
bin10000111011000001…
…10101111010000000
3212110011012001022100
420131200311322000
5122101240131024
64101300510400
7441064635135
oct103540657200
925404161270
109085083264
113942324584
1219166ab400
13b1a2a031a
1462284258c
153828d67c9
hex21d835e80

9085083264 has 48 divisors (see below), whose sum is σ = 26143276770. Its totient is φ = 3028360704.

The previous prime is 9085083253. The next prime is 9085083289. The reversal of 9085083264 is 4623805809.

It can be written as a sum of positive squares in only one way, i.e., 8613324864 + 471758400 = 92808^2 + 21720^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3942027 + ... + 3944330.

Almost surely, 29085083264 is an apocalyptic number.

It is an amenable number.

9085083264 is an abundant number, since it is smaller than the sum of its proper divisors (17058193506).

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

9085083264 is a wasteful number, since it uses less digits than its factorization.

9085083264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7886377 (or 7886362 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 45.

The square root of 9085083264 is about 95315.7031343734. The cubic root of 9085083264 is about 2086.6181017844.

The spelling of 9085083264 in words is "nine billion, eighty-five million, eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 288 384 576 1152 7886357 15772714 23659071 31545428 47318142 63090856 70977213 94636284 126181712 141954426 189272568 252363424 283908852 378545136 504726848 567817704 757090272 1009453696 1135635408 1514180544 2271270816 3028361088 4542541632 9085083264