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83264416360 = 2358923388881
BaseRepresentation
bin100110110001011110…
…0100010101001101000
321221220211200121101121
41031202330202221220
52331011142310420
6102130125225024
76005240601316
oct1154274425150
9257824617347
1083264416360
1132348657444
1214179102174
137b0c538828
14405c5310b6
152274d932aa
hex1362f22a68

83264416360 has 32 divisors (see below), whose sum is σ = 189449944200. Its totient is φ = 32931543040.

The previous prime is 83264416349. The next prime is 83264416363. The reversal of 83264416360 is 6361446238.

It can be written as a sum of positive squares in 4 ways, for example, as 32113356804 + 51151059556 = 179202^2 + 226166^2 .

It is not an unprimeable number, because it can be changed into a prime (83264416363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 11690881 + ... + 11698000.

Almost surely, 283264416360 is an apocalyptic number.

It is an amenable number.

83264416360 is an abundant number, since it is smaller than the sum of its proper divisors (106185527840).

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

83264416360 is a wasteful number, since it uses less digits than its factorization.

83264416360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23388981 (or 23388977 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 43.

The spelling of 83264416360 in words is "eighty-three billion, two hundred sixty-four million, four hundred sixteen thousand, three hundred sixty".

Divisors: 1 2 4 5 8 10 20 40 89 178 356 445 712 890 1780 3560 23388881 46777762 93555524 116944405 187111048 233888810 467777620 935555240 2081610409 4163220818 8326441636 10408052045 16652883272 20816104090 41632208180 83264416360