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83291032328 = 2374764149369
BaseRepresentation
bin100110110010010001…
…0000100101100001000
321221222200202211122012
41031210202010230020
52331040001013303
6102132515515052
76006013044020
oct1154442045410
9257880684565
1083291032328
1132361686409
1214185bb8a88
137b14bc741a
144061c9ca80
15227739e5d8
hex1364884b08

83291032328 has 64 divisors (see below), whose sum is σ = 182566310400. Its totient is φ = 34881454080.

The previous prime is 83291032309. The next prime is 83291032337. The reversal of 83291032328 is 82323019238.

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 15 ways as a sum of consecutive naturals, for example, 1662428 + ... + 1711796.

It is an arithmetic number, because the mean of its divisors is an integer number (2852598600).

Almost surely, 283291032328 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 83291032328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91283155200).

83291032328 is an abundant number, since it is smaller than the sum of its proper divisors (99275278072).

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

83291032328 is a wasteful number, since it uses less digits than its factorization.

83291032328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50070 (or 50066 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 41.

The spelling of 83291032328 in words is "eighty-three billion, two hundred ninety-one million, thirty-two thousand, three hundred twenty-eight".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 641 658 1282 1316 2564 2632 4487 5128 8974 17948 30127 35896 49369 60254 98738 120508 197476 210889 241016 345583 394952 421778 691166 843556 1382332 1687112 2320343 2764664 4640686 9281372 16242401 18562744 31645529 32484802 63291058 64969604 126582116 129939208 221518703 253164232 443037406 886074812 1487339863 1772149624 2974679726 5949359452 10411379041 11898718904 20822758082 41645516164 83291032328