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9079802944 = 264322772
BaseRepresentation
bin10000111010011001…
…01100110001000000
3212102210020210001221
420131030230301000
5122043412143234
64100551404424
7441002023462
oct103514546100
925383223057
109079802944
11393a348383
121914983714
13b19171a84
14621c6a132
153821e1eb4
hex21d32cc40

9079802944 has 63 divisors (see below), whose sum is σ = 18513329877. Its totient is φ = 4418313984.

The previous prime is 9079802933. The next prime is 9079802957. The reversal of 9079802944 is 4492089709.

It is a happy number.

The square root of 9079802944 is 95288.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1564993600 + 7514809344 = 39560^2 + 86688^2 .

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 9079802891 and 9079802900.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 32778934 + ... + 32779210.

It is an arithmetic number, because the mean of its divisors is an integer number (293862379).

Almost surely, 29079802944 is an apocalyptic number.

9079802944 is the 95288-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9079802944

9079802944 is an abundant number, since it is smaller than the sum of its proper divisors (9433526933).

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

9079802944 is an frugal number, since it uses more digits than its factorization.

9079802944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 652 (or 322 counting only the distinct ones).

The product of its (nonzero) digits is 1306368, while the sum is 52.

The cubic root of 9079802944 is about 2086.2137706315.

The spelling of 9079802944 in words is "nine billion, seventy-nine million, eight hundred two thousand, nine hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 172 277 344 554 688 1108 1376 1849 2216 2752 3698 4432 7396 8864 11911 14792 17728 23822 29584 47644 59168 76729 95288 118336 153458 190576 306916 381152 512173 613832 762304 1024346 1227664 2048692 2455328 3299347 4097384 4910656 6598694 8194768 13197388 16389536 26394776 32779072 52789552 105579104 141871921 211158208 283743842 567487684 1134975368 2269950736 4539901472 9079802944