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820050872382 = 232717413738277
BaseRepresentation
bin10111110111011101101…
…01110100100000111110
32220101200202101121000200
423323232311310200332
5101413431010404012
61424420504104330
7113150424255630
oct13735665644076
92811622347020
10820050872382
1129686637aa05
12112b214650a6
135c43b0567c1
142b9952d0a50
15164e875b3dc
hexbeeed7483e

820050872382 has 48 divisors (see below), whose sum is σ = 2031769046112. Its totient is φ = 234165608640.

The previous prime is 820050872297. The next prime is 820050872393. The reversal of 820050872382 is 283278050028.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1649773 + ... + 2088504.

It is an arithmetic number, because the mean of its divisors is an integer number (42328521794).

Almost surely, 2820050872382 is an apocalyptic number.

820050872382 is an abundant number, since it is smaller than the sum of its proper divisors (1211718173730).

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

820050872382 is a wasteful number, since it uses less digits than its factorization.

820050872382 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3740033 (or 3740030 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 45.

The spelling of 820050872382 in words is "eight hundred twenty billion, fifty million, eight hundred seventy-two thousand, three hundred eighty-two".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 126 1741 3482 5223 10446 12187 15669 24374 31338 36561 73122 109683 219366 3738277 7476554 11214831 22429662 26167939 33644493 52335878 67288986 78503817 157007634 235511451 471022902 6508340257 13016680514 19525020771 39050041542 45558381799 58575062313 91116763598 117150124626 136675145397 273350290794 410025436191 820050872382