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86005708852 = 22724371143729
BaseRepresentation
bin101000000011001010…
…1101111100000110100
322012222212220200202011
41100012111233200310
52402114430140402
6103302132454004
76133205314600
oct1200625574064
9265885820664
1086005708852
1133524a87028
121480317a304
13815844c1ab
14423c632500
152385882ed7
hex140656f834

86005708852 has 72 divisors (see below), whose sum is σ = 181679319360. Its totient is φ = 35495066880.

The previous prime is 86005708843. The next prime is 86005708931. The reversal of 86005708852 is 25880750068.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a junction number, because it is equal to n+sod(n) for n = 86005708796 and 86005708805.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 526524 + ... + 670252.

It is an arithmetic number, because the mean of its divisors is an integer number (2523323880).

Almost surely, 286005708852 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 86005708852, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90839659680).

86005708852 is an abundant number, since it is smaller than the sum of its proper divisors (95673610508).

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

86005708852 is a wasteful number, since it uses less digits than its factorization.

86005708852 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143861 (or 143852 counting only the distinct ones).

The product of its (nonzero) digits is 1075200, while the sum is 49.

The spelling of 86005708852 in words is "eighty-six billion, five million, seven hundred eight thousand, eight hundred fifty-two".

Divisors: 1 2 4 7 14 28 43 49 71 86 98 142 172 196 284 301 497 602 994 1204 1988 2107 3053 3479 4214 6106 6958 8428 12212 13916 21371 42742 85484 143729 149597 287458 299194 574916 598388 1006103 2012206 4024412 6180347 7042721 10204759 12360694 14085442 20409518 24721388 28170884 40819036 43262429 71433313 86524858 142866626 173049716 285733252 302837003 438804637 500033191 605674006 877609274 1000066382 1211348012 1755218548 2000132764 3071632459 6143264918 12286529836 21501427213 43002854426 86005708852