Search a number
-
+
85112111616 = 293723344171
BaseRepresentation
bin100111101000100010…
…0111100001000000000
322010200121110020210020
41033101010330020000
52343302200032431
6103033331533440
76102105004050
oct1172104741000
9263617406706
1085112111616
1133106628214
12145b3a5a280
138045287c2c
144195aa1560
1523321bd696
hex13d113c200

85112111616 has 160 divisors (see below), whose sum is σ = 270403550208. Its totient is φ = 23260385280.

The previous prime is 85112111587. The next prime is 85112111633. The reversal of 85112111616 is 61611121158.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75211 + ... + 419381.

Almost surely, 285112111616 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 85112111616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135201775104).

85112111616 is an abundant number, since it is smaller than the sum of its proper divisors (185291438592).

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

85112111616 is a wasteful number, since it uses less digits than its factorization.

85112111616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 344222 (or 344206 counting only the distinct ones).

The product of its digits is 2880, while the sum is 33.

The spelling of 85112111616 in words is "eighty-five billion, one hundred twelve million, one hundred eleven thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 64 69 84 92 96 112 128 138 161 168 184 192 224 256 276 322 336 368 384 448 483 512 552 644 672 736 768 896 966 1104 1288 1344 1472 1536 1792 1932 2208 2576 2688 2944 3584 3864 4416 5152 5376 5888 7728 8832 10304 10752 11776 15456 17664 20608 30912 35328 41216 61824 82432 123648 247296 344171 688342 1032513 1376684 2065026 2409197 2753368 4130052 4818394 5506736 7227591 7915933 8260104 9636788 11013472 14455182 15831866 16520208 19273576 22026944 23747799 28910364 31663732 33040416 38547152 44053888 47495598 55411531 57820728 63327464 66080832 77094304 88107776 94991196 110823062 115641456 126654928 132161664 154188608 166234593 176215552 189982392 221646124 231282912 253309856 264323328 308377216 332469186 379964784 443292248 462565824 506619712 528646656 616754432 664938372 759929568 886584496 925131648 1013239424 1233508864 1329876744 1519859136 1773168992 1850263296 2026478848 2659753488 3039718272 3546337984 3700526592 4052957696 5319506976 6079436544 7092675968 10639013952 12158873088 14185351936 21278027904 28370703872 42556055808 85112111616