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86805050868 = 22333738112657
BaseRepresentation
bin101000011010111111…
…0111111010111110100
322022001121000110212000
41100311332333113310
52410234043111433
6103513325255300
76162052521024
oct1206576772764
9268047013760
1086805050868
11338a5208568
12149a6a04530
138254c31733
1442b6869a84
1523d0b2a113
hex1435fbf5f4

86805050868 has 96 divisors (see below), whose sum is σ = 226016757120. Its totient is φ = 28811013120.

The previous prime is 86805050867. The next prime is 86805050873.

86805050868 is a `hidden beast` number, since 8 + 6 + 80 + 50 + 508 + 6 + 8 = 666.

86805050868 is nontrivially palindromic in base 10.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (86805050867) 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, 32668996 + ... + 32671652.

It is an arithmetic number, because the mean of its divisors is an integer number (2354341220).

Almost surely, 286805050868 is an apocalyptic number.

It is an amenable number.

86805050868 is an abundant number, since it is smaller than the sum of its proper divisors (139211706252).

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

86805050868 is a wasteful number, since it uses less digits than its factorization.

86805050868 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854 (or 3846 counting only the distinct ones).

The product of its (nonzero) digits is 3686400, while the sum is 54.

The spelling of 86805050868 in words is "eighty-six billion, eight hundred five million, fifty thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 373 746 811 1119 1492 1622 2238 2433 2657 3244 3357 4476 4866 5314 6714 7299 7971 9732 10071 10628 13428 14598 15942 20142 21897 23913 29196 31884 40284 43794 47826 71739 87588 95652 143478 286956 302503 605006 907509 991061 1210012 1815018 1982122 2154827 2722527 2973183 3630036 3964244 4309654 5445054 5946366 6464481 8167581 8619308 8919549 10890108 11892732 12928962 16335162 17839098 19393443 25857924 26758647 32670324 35678196 38786886 53517294 58180329 77573772 107034588 116360658 232721316 803750471 1607500942 2411251413 3215001884 4822502826 7233754239 9645005652 14467508478 21701262717 28935016956 43402525434 86805050868