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85283727318 = 232317111531867
BaseRepresentation
bin100111101101101001…
…1100110011111010110
322011010120101020021100
41033123103212133112
52344130113233233
6103102342130530
76106260502266
oct1173323463726
9264116336240
1085283727318
1133194493679
1214641420a46
1380719b479a
1441b07b57a6
1523422bc813
hex13db4e67d6

85283727318 has 96 divisors (see below), whose sum is σ = 193700063232. Its totient is φ = 27085363200.

The previous prime is 85283727317. The next prime is 85283727323. The reversal of 85283727318 is 81372738258.

85283727318 is a `hidden beast` number, since 8 + 528 + 37 + 2 + 73 + 18 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85283727317) 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 47 ways as a sum of consecutive naturals, for example, 45678621 + ... + 45680487.

It is an arithmetic number, because the mean of its divisors is an integer number (2017708992).

Almost surely, 285283727318 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85283727318, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (96850031616).

85283727318 is an abundant number, since it is smaller than the sum of its proper divisors (108416335914).

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

85283727318 is a wasteful number, since it uses less digits than its factorization.

85283727318 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3130 (or 3127 counting only the distinct ones).

The product of its digits is 4515840, while the sum is 54.

The spelling of 85283727318 in words is "eighty-five billion, two hundred eighty-three million, seven hundred twenty-seven thousand, three hundred eighteen".

Divisors: 1 2 3 6 9 18 31 62 71 93 142 186 213 279 426 558 639 1153 1278 1867 2201 2306 3459 3734 4402 5601 6603 6918 10377 11202 13206 16803 19809 20754 33606 35743 39618 57877 71486 81863 107229 115754 132557 163726 173631 214458 245589 265114 321687 347262 397671 491178 520893 643374 736767 795342 1041786 1193013 1473534 2152651 2386026 2537753 4109267 4305302 5075506 6457953 7613259 8218534 12327801 12915906 15226518 19373859 22839777 24655602 36983403 38747718 45679554 66732181 73966806 133464362 152838221 200196543 305676442 400393086 458514663 600589629 917029326 1201179258 1375543989 2751087978 4737984851 9475969702 14213954553 28427909106 42641863659 85283727318