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83296322064 = 24322392420279
BaseRepresentation
bin100110110010011011…
…0010000001000010000
321222000001201120210100
41031210312100020100
52331042324301224
6102133225132400
76006106025004
oct1154466201020
9258001646710
1083296322064
113236466969a
121418792a100
137b1602a047
144062878704
152277a96ac9
hex1364d90210

83296322064 has 60 divisors (see below), whose sum is σ = 234089481600. Its totient is φ = 27649255872.

The previous prime is 83296322047. The next prime is 83296322077. The reversal of 83296322064 is 46022369238.

It is a happy number.

83296322064 is a `hidden beast` number, since 8 + 3 + 2 + 9 + 632 + 2 + 0 + 6 + 4 = 666.

It is a super-2 number, since 2×832963220642 (a number of 23 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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 11 ways as a sum of consecutive naturals, for example, 1175724 + ... + 1244555.

It is an arithmetic number, because the mean of its divisors is an integer number (3901491360).

Almost surely, 283296322064 is an apocalyptic number.

It is an amenable number.

83296322064 is an abundant number, since it is smaller than the sum of its proper divisors (150793159536).

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

83296322064 is a wasteful number, since it uses less digits than its factorization.

83296322064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2420532 (or 2420523 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 83296322064 in words is "eighty-three billion, two hundred ninety-six million, three hundred twenty-two thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 239 478 717 956 1434 1912 2151 2868 3824 4302 5736 8604 11472 17208 34416 2420279 4840558 7260837 9681116 14521674 19362232 21782511 29043348 38724464 43565022 58086696 87130044 116173392 174260088 348520176 578446681 1156893362 1735340043 2313786724 3470680086 4627573448 5206020129 6941360172 9255146896 10412040258 13882720344 20824080516 27765440688 41648161032 83296322064