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85868131533736 = 231710113767367801
BaseRepresentation
bin10011100001100010111011…
…011110100100001110101000
3102021000220122201121102001011
4103201202323132210032220
542223330413133034421
6502343135224433304
724041524230141616
oct2341427336441650
9367026581542034
1085868131533736
11253a6519745072
12976999b618834
1338bb43a1a7a46
14172c07b09c6b6
159dd9619cd4e1
hex4e18bb7a43a8

85868131533736 has 128 divisors (see below), whose sum is σ = 173678245644960. Its totient is φ = 39656816640000.

The previous prime is 85868131533733. The next prime is 85868131533827. The reversal of 85868131533736 is 63733513186858.

It can be written as a sum of positive squares in 16 ways, for example, as 42775602573636 + 43092528960100 = 6540306^2 + 6564490^2 .

It is a super-2 number, since 2×858681315337362 (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85868131533731) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1266439036 + ... + 1266506836.

Almost surely, 285868131533736 is an apocalyptic number.

It is an amenable number.

85868131533736 is an abundant number, since it is smaller than the sum of its proper divisors (87810114111224).

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

85868131533736 is a wasteful number, since it uses less digits than its factorization.

85868131533736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68735 (or 68731 counting only the distinct ones).

The product of its digits is 261273600, while the sum is 67.

The spelling of 85868131533736 in words is "eighty-five trillion, eight hundred sixty-eight billion, one hundred thirty-one million, five hundred thirty-three thousand, seven hundred thirty-six".

Divisors: 1 2 4 8 17 34 68 101 136 137 202 274 404 548 673 808 1096 1346 1717 2329 2692 3434 4658 5384 6868 9316 11441 13736 13837 18632 22882 27674 45764 55348 67801 67973 91528 92201 110696 135602 135946 184402 235229 271204 271892 368804 470458 542408 543784 737608 940916 1152617 1155541 1567417 1881832 2305234 2311082 3134834 4610468 4622164 6269668 6847901 9220936 9244328 9288737 9312301 12539336 13695802 18577474 18624602 27391604 37154948 37249204 45630073 54783208 74309896 74498408 91260146 116414317 157908529 158309117 182520292 232828634 315817058 316618234 365040584 465657268 631634116 633236468 775711241 931314536 938162437 1263268232 1266472936 1551422482 1876324874 3102844964 3752649748 4608637373 6205689928 6251320001 7505299496 9217274746 12502640002 15948761429 18434549492 25005280004 31897522858 36869098984 50010560008 63795045716 78346835341 106272440017 127590091432 156693670682 212544880034 313387341364 425089760068 626774682728 631383320101 850179520136 1262766640202 2525533280404 5051066560808 10733516441717 21467032883434 42934065766868 85868131533736