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85455373788 = 223319214319433
BaseRepresentation
bin100111110010110001…
…0011000010111011100
322011120112100202222000
41033211202120113130
52400003033430123
6103131353122300
76113443456311
oct1174542302734
9264515322860
1085455373788
1133272370164
121468a9b9390
13809b422345
1441c94d6d08
1523523c5b43
hex13e58985dc

85455373788 has 96 divisors (see below), whose sum is σ = 233332377600. Its totient is φ = 26971926912.

The previous prime is 85455373763. The next prime is 85455373819. The reversal of 85455373788 is 88737355458.

85455373788 is a `hidden beast` number, since 8 + 5 + 4 + 553 + 7 + 3 + 78 + 8 = 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 31 ways as a sum of consecutive naturals, for example, 4387720 + ... + 4407152.

It is an arithmetic number, because the mean of its divisors is an integer number (2430545600).

Almost surely, 285455373788 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 85455373788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (116666188800).

85455373788 is an abundant number, since it is smaller than the sum of its proper divisors (147877003812).

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

85455373788 is a wasteful number, since it uses less digits than its factorization.

85455373788 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21608 (or 21600 counting only the distinct ones).

The product of its digits is 112896000, while the sum is 63.

The spelling of 85455373788 in words is "eighty-five billion, four hundred fifty-five million, three hundred seventy-three thousand, seven hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 19 27 36 38 54 57 76 108 114 171 228 342 513 684 1026 2052 2143 4286 6429 8572 12858 19287 19433 25716 38574 38866 40717 57861 58299 77148 77732 81434 115722 116598 122151 162868 174897 231444 233196 244302 349794 366453 369227 488604 524691 699588 732906 738454 1049382 1099359 1107681 1465812 1476908 2098764 2198718 2215362 3323043 4397436 4430724 6646086 9969129 13292172 19938258 39876516 41644919 83289838 124934757 166579676 249869514 374804271 499739028 749608542 791253461 1124412813 1499217084 1582506922 2248825626 2373760383 3165013844 4497651252 4747520766 7121281149 9495041532 14242562298 21363843447 28485124596 42727686894 85455373788