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855940903686 = 23211210711513191
BaseRepresentation
bin11000111010010100000…
…11011011001100000110
310000211022222211002101100
430131022003123030012
5103010431332404221
61453114104040530
7115561004431461
oct14351203331406
93024288732340
10855940903686
11300003364700
12119a78a63146
136293a79360b
142d5dbac02d8
15173e94e9926
hexc74a0db306

855940903686 has 144 divisors (see below), whose sum is σ = 2059943768064. Its totient is φ = 256648260000.

The previous prime is 855940903681. The next prime is 855940903703. The reversal of 855940903686 is 686309049558.

855940903686 is a `hidden beast` number, since 8 + 5 + 594 + 0 + 9 + 0 + 36 + 8 + 6 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (855940903681) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 268234351 + ... + 268237541.

It is an arithmetic number, because the mean of its divisors is an integer number (14305165056).

Almost surely, 2855940903686 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 855940903686, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1029971884032).

855940903686 is an abundant number, since it is smaller than the sum of its proper divisors (1204002864378).

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

855940903686 is a wasteful number, since it uses less digits than its factorization.

855940903686 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4479 (or 4465 counting only the distinct ones).

The product of its (nonzero) digits is 55987200, while the sum is 63.

The spelling of 855940903686 in words is "eight hundred fifty-five billion, nine hundred forty million, nine hundred three thousand, six hundred eighty-six".

Divisors: 1 2 3 6 9 11 18 22 33 66 99 107 121 198 214 242 321 363 642 726 963 1089 1151 1177 1926 2178 2302 2354 3191 3453 3531 6382 6906 7062 9573 10359 10593 12661 12947 19146 20718 21186 25322 25894 28719 35101 37983 38841 57438 70202 75966 77682 105303 113949 116523 123157 139271 210606 227898 233046 246314 278542 315909 341437 369471 386111 417813 631818 682874 738942 772222 835626 1024311 1108413 1158333 1253439 1354727 2048622 2216826 2316666 2506878 2709454 3072933 3474999 3672841 3755807 4064181 6145866 6949998 7345682 7511614 8128362 11018523 11267421 12192543 14901997 22037046 22534842 24385086 29803994 33055569 33802263 40401251 41313877 44705991 66111138 67604526 80802502 82627754 89411982 121203753 123941631 134117973 242407506 247883262 268235946 363611259 371824893 392993987 444413761 727222518 743649786 785987974 888827522 1178981961 1333241283 2357963922 2666482566 3536945883 3999723849 4322933857 7073891766 7999447698 8645867714 12968801571 25937603142 38906404713 47552272427 77812809426 95104544854 142656817281 285313634562 427970451843 855940903686