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83161605184 = 267242162989
BaseRepresentation
bin100110101110011010…
…0010110010001000000
321221122200020020222021
41031130310112101000
52330303332331214
6102112013451224
76002551660300
oct1153464262100
9257580206867
1083161605184
11322a5615929
121414a7a0b14
137ac414c608
14404ca0b600
15226ad35924
hex135cd16440

83161605184 has 84 divisors (see below), whose sum is σ = 192425505420. Its totient is φ = 35555466240.

The previous prime is 83161605181. The next prime is 83161605199. The reversal of 83161605184 is 48150616138.

It can be written as a sum of positive squares in 2 ways, for example, as 1594245184 + 81567360000 = 39928^2 + 285600^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 83161605184.

It is not an unprimeable number, because it can be changed into a prime (83161605181) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1288762 + ... + 1351750.

Almost surely, 283161605184 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 83161605184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96212752710).

83161605184 is an abundant number, since it is smaller than the sum of its proper divisors (109263900236).

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

83161605184 is a wasteful number, since it uses less digits than its factorization.

83161605184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 63436 (or 63419 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 43.

The spelling of 83161605184 in words is "eighty-three billion, one hundred sixty-one million, six hundred five thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 421 448 784 842 1568 1684 2947 3136 3368 5894 6736 11788 13472 20629 23576 26944 41258 47152 62989 82516 94304 125978 165032 188608 251956 330064 440923 503912 660128 881846 1007824 1320256 1763692 2015648 3086461 3527384 4031296 6172922 7054768 12345844 14109536 24691688 26518369 28219072 49383376 53036738 98766752 106073476 185628583 197533504 212146952 371257166 424293904 742514332 848587808 1299400081 1485028664 1697175616 2598800162 2970057328 5197600324 5940114656 10395200648 11880229312 20790401296 41580802592 83161605184