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86162483052 = 223317263178439
BaseRepresentation
bin101000000111110101…
…1110010011101101100
322020101210220122112000
41100033223302131230
52402430043424202
6103325453012300
76140121010332
oct1201753623554
9266353818460
1086162483052
11335a5525888
1214847784090
138181a805a9
1442553a1b52
1523944ee91c
hex140faf276c

86162483052 has 96 divisors (see below), whose sum is σ = 237425126400. Its totient is φ = 26928435456.

The previous prime is 86162483041. The next prime is 86162483053. The reversal of 86162483052 is 25038426168.

86162483052 is a `hidden beast` number, since 8 + 6 + 162 + 483 + 0 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 86162482989 and 86162483007.

It is not an unprimeable number, because it can be changed into a prime (86162483053) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393649 + ... + 572087.

It is an arithmetic number, because the mean of its divisors is an integer number (2473178400).

Almost surely, 286162483052 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 86162483052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118712563200).

86162483052 is an abundant number, since it is smaller than the sum of its proper divisors (151262643348).

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

86162483052 is a wasteful number, since it uses less digits than its factorization.

86162483052 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178732 (or 178724 counting only the distinct ones).

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

The spelling of 86162483052 in words is "eighty-six billion, one hundred sixty-two million, four hundred eighty-three thousand, fifty-two".

Divisors: 1 2 3 4 6 9 12 17 18 27 34 36 51 54 68 102 108 153 204 263 306 459 526 612 789 918 1052 1578 1836 2367 3156 4471 4734 7101 8942 9468 13413 14202 17884 26826 28404 40239 53652 80478 120717 160956 178439 241434 356878 482868 535317 713756 1070634 1605951 2141268 3033463 3211902 4817853 6066926 6423804 9100389 9635706 12133852 18200778 19271412 27301167 36401556 46929457 54602334 81903501 93858914 109204668 140788371 163807002 187717828 281576742 327614004 422365113 563153484 797800769 844730226 1267095339 1595601538 1689460452 2393402307 2534190678 3191203076 4786804614 5068381356 7180206921 9573609228 14360413842 21540620763 28720827684 43081241526 86162483052