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8090445294 = 2334130711903
BaseRepresentation
bin1111000100011101…
…00110010111101110
3202212211121012112000
413202032212113232
5113032123222134
63414450153130
7404326436031
oct74216462756
922784535460
108090445294
113481933328
1216995827a6
139bc1bc949
1456a6cd018
15325413e99
hex1e23a65ee

8090445294 has 64 divisors (see below), whose sum is σ = 18478817280. Its totient is φ = 2622248640.

The previous prime is 8090445281. The next prime is 8090445361. The reversal of 8090445294 is 4925440908.

8090445294 is a `hidden beast` number, since 80 + 9 + 0 + 44 + 529 + 4 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 673747 + ... + 685649.

It is an arithmetic number, because the mean of its divisors is an integer number (288731520).

Almost surely, 28090445294 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8090445294, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9239408640).

8090445294 is an abundant number, since it is smaller than the sum of its proper divisors (10388371986).

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

8090445294 is a wasteful number, since it uses less digits than its factorization.

8090445294 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12262 (or 12256 counting only the distinct ones).

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

The square root of 8090445294 is about 89946.9026370558. The cubic root of 8090445294 is about 2007.5088809058.

The spelling of 8090445294 in words is "eight billion, ninety million, four hundred forty-five thousand, two hundred ninety-four".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 307 369 614 738 921 1107 1842 2214 2763 5526 8289 11903 12587 16578 23806 25174 35709 37761 71418 75522 107127 113283 214254 226566 321381 339849 488023 642762 679698 976046 1464069 2928138 3654221 4392207 7308442 8784414 10962663 13176621 21925326 26353242 32887989 65775978 98663967 149823061 197327934 299646122 449469183 898938366 1348407549 2696815098 4045222647 8090445294