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8283000096 = 2532727115161
BaseRepresentation
bin1111011011011010…
…01000110100100000
3210101020221000001100
413231231020310200
5113430422000341
63445525234400
7412155224220
oct75555106440
923336830040
108283000096
1135705a0628
121731b62a00
13a2006b1b7
145880d4080
1533729c3b6
hex1edb48d20

8283000096 has 144 divisors (see below), whose sum is σ = 27020867328. Its totient is φ = 2357683200.

The previous prime is 8283000017. The next prime is 8283000109. The reversal of 8283000096 is 6900003828.

It is a tau number, because it is divible by the number of its divisors (144).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 8283000096.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 538756 + ... + 553916.

It is an arithmetic number, because the mean of its divisors is an integer number (187644912).

Almost surely, 28283000096 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8283000096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13510433664).

8283000096 is an abundant number, since it is smaller than the sum of its proper divisors (18737867232).

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

8283000096 is a wasteful number, since it uses less digits than its factorization.

8283000096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15455 (or 15444 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 8283000096 is about 91010.9888749705. The cubic root of 8283000096 is about 2023.3105938897.

The spelling of 8283000096 in words is "eight billion, two hundred eighty-three million, ninety-six", and thus it is an aban number.

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 32 36 42 48 56 63 72 84 96 112 126 144 168 224 252 271 288 336 504 542 672 813 1008 1084 1626 1897 2016 2168 2439 3252 3794 4336 4878 5691 6504 7588 8672 9756 11382 13008 15161 15176 17073 19512 22764 26016 30322 30352 34146 39024 45483 45528 60644 60704 68292 78048 90966 91056 106127 121288 136449 136584 181932 182112 212254 242576 272898 273168 318381 363864 424508 485152 545796 546336 636762 727728 849016 955143 1091592 1273524 1455456 1698032 1910286 2183184 2547048 3396064 3820572 4108631 4366368 5094096 7641144 8217262 10188192 12325893 15282288 16434524 24651786 28760417 30564576 32869048 36977679 49303572 57520834 65738096 73955358 86281251 98607144 115041668 131476192 147910716 172562502 197214288 230083336 258843753 295821432 345125004 394428576 460166672 517687506 591642864 690250008 920333344 1035375012 1183285728 1380500016 2070750024 2761000032 4141500048 8283000096