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83321220992 = 274731344249
BaseRepresentation
bin100110110011001010…
…1001110111110000000
321222001210120120200212
41031212111032332000
52331120213032432
6102135514533252
76006530456432
oct1154625167600
9258053516625
1083321220992
1132377725619
1214194137228
137b1b237239
144065cba652
152279d642b2
hex136654ef80

83321220992 has 64 divisors (see below), whose sum is σ = 170068680000. Its totient is φ = 40643026944.

The previous prime is 83321220973. The next prime is 83321221021. The reversal of 83321220992 is 29902212338.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1860884 + ... + 1905132.

It is an arithmetic number, because the mean of its divisors is an integer number (2657323125).

Almost surely, 283321220992 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 83321220992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85034340000).

83321220992 is an abundant number, since it is smaller than the sum of its proper divisors (86747459008).

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

83321220992 is a wasteful number, since it uses less digits than its factorization.

83321220992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44623 (or 44611 counting only the distinct ones).

The product of its (nonzero) digits is 93312, while the sum is 41.

The spelling of 83321220992 in words is "eighty-three billion, three hundred twenty-one million, two hundred twenty thousand, nine hundred ninety-two".

Divisors: 1 2 4 8 16 32 47 64 94 128 188 313 376 626 752 1252 1504 2504 3008 5008 6016 10016 14711 20032 29422 40064 44249 58844 88498 117688 176996 235376 353992 470752 707984 941504 1415968 1883008 2079703 2831936 4159406 5663872 8318812 13849937 16637624 27699874 33275248 55399748 66550496 110799496 133100992 221598992 266201984 443197984 650947039 886395968 1301894078 1772791936 2603788156 5207576312 10415152624 20830305248 41660610496 83321220992