Search a number
-
+
85275060728 = 231121323294629
BaseRepresentation
bin100111101101011001…
…0100010100111111000
322011002222001220221112
41033122302202213320
52344120403420403
6103101432255452
76106124025254
oct1173262424770
9264088056845
1085275060728
113318a604300
121463a541588
13806cc6bb20
1441ad59b264
1523416599d8
hex13daca29f8

85275060728 has 96 divisors (see below), whose sum is σ = 197496381600. Its totient is φ = 34223988480.

The previous prime is 85275060719. The next prime is 85275060769. The reversal of 85275060728 is 82706057258.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 142118 + ... + 436746.

It is an arithmetic number, because the mean of its divisors is an integer number (2057253975).

Almost surely, 285275060728 is an apocalyptic number.

85275060728 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85275060728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98748190800).

85275060728 is an abundant number, since it is smaller than the sum of its proper divisors (112221320872).

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

85275060728 is a wasteful number, since it uses less digits than its factorization.

85275060728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294693 (or 294678 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 50.

The spelling of 85275060728 in words is "eighty-five billion, two hundred seventy-five million, sixty thousand, seven hundred twenty-eight".

Divisors: 1 2 4 8 11 13 22 23 26 44 46 52 88 92 104 121 143 184 242 253 286 299 484 506 572 598 968 1012 1144 1196 1573 2024 2392 2783 3146 3289 5566 6292 6578 11132 12584 13156 22264 26312 36179 72358 144716 289432 294629 589258 1178516 2357032 3240919 3830177 6481838 6776467 7660354 12963676 13552934 15320708 25927352 27105868 30641416 35650109 42131947 54211736 71300218 74541137 84263894 88094071 142600436 149082274 168527788 176188142 285200872 298164548 337055576 352376284 463451417 596329096 704752568 819952507 926902834 969034781 1639905014 1853805668 1938069562 3279810028 3707611336 3876139124 6559620056 7752278248 10659382591 21318765182 42637530364 85275060728