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85949488998 = 232176710938461
BaseRepresentation
bin101000000001011111…
…1010001111101100110
322012211222010102121100
41100002333101331212
52402011032121443
6103252403500530
76131623413402
oct1200277217546
9265758112540
1085949488998
11334a627823a
12147a8387746
1381498c69c9
144234d9a102
15238097a3d3
hex1402fd1f66

85949488998 has 96 divisors (see below), whose sum is σ = 201962423520. Its totient is φ = 26317716480.

The previous prime is 85949488987. The next prime is 85949489047. The reversal of 85949488998 is 89988494958.

It is a happy number.

85949488998 is a `hidden beast` number, since 8 + 5 + 9 + 49 + 488 + 9 + 98 = 666.

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 47 ways as a sum of consecutive naturals, for example, 2215488 + ... + 2253948.

It is an arithmetic number, because the mean of its divisors is an integer number (2103775245).

Almost surely, 285949488998 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85949488998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100981211760).

85949488998 is an abundant number, since it is smaller than the sum of its proper divisors (116012934522).

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

85949488998 is a wasteful number, since it uses less digits than its factorization.

85949488998 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38662 (or 38659 counting only the distinct ones).

The product of its digits is 2149908480, while the sum is 81.

The spelling of 85949488998 in words is "eighty-five billion, nine hundred forty-nine million, four hundred eighty-eight thousand, nine hundred ninety-eight".

Divisors: 1 2 3 6 9 17 18 34 51 67 102 109 134 153 201 218 306 327 402 603 654 981 1139 1206 1853 1962 2278 3417 3706 5559 6834 7303 10251 11118 14606 16677 20502 21909 33354 38461 43818 65727 76922 115383 124151 131454 230766 248302 346149 372453 653837 692298 744906 1117359 1307674 1961511 2234718 2576887 3923022 4192249 5153774 5884533 7730661 8384498 11769066 12576747 15461322 23191983 25153494 37730241 43807079 46383966 71268233 75460482 87614158 131421237 142536466 213804699 262842474 280880683 394263711 427609398 561761366 641414097 788527422 842642049 1282828194 1685284098 2527926147 4774971611 5055852294 9549943222 14324914833 28649829666 42974744499 85949488998