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83526806214 = 23217479569861
BaseRepresentation
bin100110111001010010…
…1011110101011000110
321222121010102101121100
41031302211132223012
52332030330244324
6102212141200530
76014605065315
oct1156245365306
9258533371540
1083526806214
1132472782865
1214230b60146
137b519c87b7
14408531427c
15228ce234c9
hex137295eac6

83526806214 has 48 divisors (see below), whose sum is σ = 192020699520. Its totient is φ = 26149735680.

The previous prime is 83526806191. The next prime is 83526806219. The reversal of 83526806214 is 41260862538.

83526806214 is a `hidden beast` number, since 8 + 352 + 6 + 80 + 6 + 214 = 666.

It is a super-2 number, since 2×835268062142 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 83526806214.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (83526806219) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 138357 + ... + 431504.

It is an arithmetic number, because the mean of its divisors is an integer number (4000431240).

Almost surely, 283526806214 is an apocalyptic number.

83526806214 is an abundant number, since it is smaller than the sum of its proper divisors (108493893306).

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

83526806214 is a wasteful number, since it uses less digits than its factorization.

83526806214 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 570365 (or 570362 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 83526806214 in words is "eighty-three billion, five hundred twenty-six million, eight hundred six thousand, two hundred fourteen".

Divisors: 1 2 3 6 9 17 18 34 51 102 153 306 479 958 1437 2874 4311 8143 8622 16286 24429 48858 73287 146574 569861 1139722 1709583 3419166 5128749 9687637 10257498 19375274 29062911 58125822 87188733 174377466 272963419 545926838 818890257 1637780514 2456670771 4640378123 4913341542 9280756246 13921134369 27842268738 41763403107 83526806214