Search a number
-
+
86213107188 = 22341320468449
BaseRepresentation
bin101000001001010110…
…0111001110111110100
322020112100011121210000
41100102230321313310
52403031023412223
6103334502031300
76141304214505
oct1202254716764
9266470147700
1086213107188
113362106250a
1214860718530
13818c3c6ac0
14425bdbcbac
152398b9e543
hex1412b39df4

86213107188 has 60 divisors (see below), whose sum is σ = 242714880100. Its totient is φ = 26527108608.

The previous prime is 86213107171. The next prime is 86213107207. The reversal of 86213107188 is 88170131268.

It is a happy number.

86213107188 is a `hidden beast` number, since 8 + 621 + 3 + 1 + 0 + 7 + 18 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 15109818084 + 71103289104 = 122922^2 + 266652^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 10230013 + ... + 10238436.

Almost surely, 286213107188 is an apocalyptic number.

It is an amenable number.

86213107188 is an abundant number, since it is smaller than the sum of its proper divisors (156501772912).

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

86213107188 is a wasteful number, since it uses less digits than its factorization.

86213107188 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20468478 (or 20468467 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 86213107188 in words is "eighty-six billion, two hundred thirteen million, one hundred seven thousand, one hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 156 162 234 324 351 468 702 1053 1404 2106 4212 20468449 40936898 61405347 81873796 122810694 184216041 245621388 266089837 368432082 532179674 552648123 736864164 798269511 1064359348 1105296246 1596539022 1657944369 2210592492 2394808533 3193078044 3315888738 4789617066 6631777476 7184425599 9579234132 14368851198 21553276797 28737702396 43106553594 86213107188