Search a number
-
+
85665533240 = 2357479077177
BaseRepresentation
bin100111111001000010…
…0000100110100111000
322012010011210222112102
41033302010010310320
52400420334030430
6103204301402532
76121605006140
oct1176204046470
9265104728472
1085665533240
113336aa62061
1214729269448
138102b25951
1442093a1920
152365a8a345
hex13f2104d38

85665533240 has 128 divisors (see below), whose sum is σ = 225249085440. Its totient is φ = 28710429696.

The previous prime is 85665533227. The next prime is 85665533251. The reversal of 85665533240 is 4233556658.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11932532 + ... + 11939708.

It is an arithmetic number, because the mean of its divisors is an integer number (1759758480).

Almost surely, 285665533240 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 85665533240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112624542720).

85665533240 is an abundant number, since it is smaller than the sum of its proper divisors (139583552200).

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

85665533240 is a wasteful number, since it uses less digits than its factorization.

85665533240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8149 (or 8145 counting only the distinct ones).

The product of its (nonzero) digits is 2592000, while the sum is 47.

The spelling of 85665533240 in words is "eighty-five billion, six hundred sixty-five million, five hundred thirty-three thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 47 56 70 94 140 188 235 280 329 376 470 658 907 940 1316 1645 1814 1880 2632 3290 3628 4535 6349 6580 7177 7256 9070 12698 13160 14354 18140 25396 28708 31745 35885 36280 42629 50239 50792 57416 63490 71770 85258 100478 126980 143540 170516 200956 213145 251195 253960 287080 298403 337319 341032 401912 426290 502390 596806 674638 852580 1004780 1193612 1349276 1492015 1686595 1705160 2009560 2361233 2387224 2698552 2984030 3373190 4722466 5968060 6509539 6746380 9444932 11806165 11936120 13019078 13492760 18889864 23612330 26038156 32547695 45566773 47224660 52076312 65095390 91133546 94449320 130190780 182267092 227833865 260381560 305948333 364534184 455667730 611896666 911335460 1223793332 1529741665 1822670920 2141638331 2447586664 3059483330 4283276662 6118966660 8566553324 10708191655 12237933320 17133106648 21416383310 42832766620 85665533240