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86556848022 = 2344333613697
BaseRepresentation
bin101000010011100110…
…0001010111110010110
322021102021222110120000
41100213030022332112
52404232023114042
6103432541352130
76152650032411
oct1204714127626
9267367873500
1086556848022
11337880a2047
1214937868646
13821569b048
1442918dab78
1523b8e4d74c
hex142730af96

86556848022 has 80 divisors (see below), whose sum is σ = 198574701072. Its totient is φ = 28165294080.

The previous prime is 86556847999. The next prime is 86556848041. The reversal of 86556848022 is 22084865568.

It is a happy number.

86556848022 is a `hidden beast` number, since 8 + 6 + 556 + 8 + 4 + 80 + 2 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 86556848022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 23410878 + ... + 23414574.

Almost surely, 286556848022 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86556848022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99287350536).

86556848022 is an abundant number, since it is smaller than the sum of its proper divisors (112017853050).

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

86556848022 is a wasteful number, since it uses less digits than its factorization.

86556848022 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7115 (or 7106 counting only the distinct ones).

The product of its (nonzero) digits is 7372800, while the sum is 54.

The spelling of 86556848022 in words is "eighty-six billion, five hundred fifty-six million, eight hundred forty-eight thousand, twenty-two".

Divisors: 1 2 3 6 9 18 27 43 54 81 86 129 162 258 387 774 1161 2322 3361 3483 3697 6722 6966 7394 10083 11091 20166 22182 30249 33273 60498 66546 90747 99819 144523 158971 181494 199638 272241 289046 299457 317942 433569 476913 544482 598914 867138 953826 1300707 1430739 2601414 2861478 3902121 4292217 7804242 8584434 11706363 12425617 12876651 23412726 24851234 25753302 37276851 74553702 111830553 223661106 335491659 534301531 670983318 1006474977 1068603062 1602904593 2012949954 3205809186 4808713779 9617427558 14426141337 28852282674 43278424011 86556848022