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9083996096 = 267233723827
BaseRepresentation
bin10000111010111001…
…01100011111000000
3212110002010210222212
420131130230133000
5122101000333341
64101221321252
7441052456430
oct103534543700
925402123885
109083996096
11394175179a
121916266228
13b19cac526
1462263c2c0
1538276e5eb
hex21d72c7c0

9083996096 has 112 divisors (see below), whose sum is σ = 22078834176. Its totient is φ = 3623076864.

The previous prime is 9083996093. The next prime is 9083996101. The reversal of 9083996096 is 6906993809.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9083996093) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 369335 + ... + 393161.

It is an arithmetic number, because the mean of its divisors is an integer number (197132448).

Almost surely, 29083996096 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 9083996096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11039417088).

9083996096 is an abundant number, since it is smaller than the sum of its proper divisors (12994838080).

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

9083996096 is a wasteful number, since it uses less digits than its factorization.

9083996096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23906 (or 23896 counting only the distinct ones).

The product of its (nonzero) digits is 5668704, while the sum is 59.

The square root of 9083996096 is about 95309.9999790158. Note that the first 4 decimals coincide. The cubic root of 9083996096 is about 2086.5348666301.

The spelling of 9083996096 in words is "nine billion, eighty-three million, nine hundred ninety-six thousand, ninety-six".

Divisors: 1 2 4 7 8 14 16 23 28 32 37 46 56 64 74 92 112 148 161 184 224 259 296 322 368 448 518 592 644 736 851 1036 1184 1288 1472 1702 2072 2368 2576 3404 4144 5152 5957 6808 8288 10304 11914 13616 16576 23827 23828 27232 47654 47656 54464 95308 95312 166789 190616 190624 333578 381232 381248 548021 667156 762464 881599 1096042 1334312 1524928 1763198 2192084 2668624 3526396 3836147 4384168 5337248 6171193 7052792 7672294 8768336 10674496 12342386 14105584 15344588 17536672 20276777 24684772 28211168 30689176 35073344 40553554 49369544 56422336 61378352 81107108 98739088 122756704 141937439 162214216 197478176 245513408 283874878 324428432 394956352 567749756 648856864 1135499512 1297713728 2270999024 4541998048 9083996096