Search a number
-
+
86686905942 = 23371318197463
BaseRepresentation
bin101000010111011110…
…0010011011001010110
322021202100201002111000
41100232330103121112
52410013321442232
6103453505124130
76156116354130
oct1205674233126
9267670632430
1086686905942
113384455352a
1214973329646
138236606cb0
1442a4cb4050
1523c558e27c
hex142ef13656

86686905942 has 128 divisors (see below), whose sum is σ = 238404741120. Its totient is φ = 22735935360.

The previous prime is 86686905911. The next prime is 86686905983. The reversal of 86686905942 is 24950968668.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 86686905942.

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 63 ways as a sum of consecutive naturals, for example, 840703 + ... + 938165.

It is an arithmetic number, because the mean of its divisors is an integer number (1862537040).

Almost surely, 286686905942 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86686905942, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (119202370560).

86686905942 is an abundant number, since it is smaller than the sum of its proper divisors (151717835178).

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

86686905942 is a wasteful number, since it uses less digits than its factorization.

86686905942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 97675 (or 97669 counting only the distinct ones).

The product of its (nonzero) digits is 44789760, while the sum is 63.

The spelling of 86686905942 in words is "eighty-six billion, six hundred eighty-six million, nine hundred five thousand, nine hundred forty-two".

Divisors: 1 2 3 6 7 9 13 14 18 21 26 27 39 42 54 63 78 91 117 126 181 182 189 234 273 351 362 378 543 546 702 819 1086 1267 1629 1638 2353 2457 2534 3258 3801 4706 4887 4914 7059 7602 9774 11403 14118 16471 21177 22806 32942 34209 42354 49413 63531 68418 97463 98826 127062 148239 194926 292389 296478 444717 584778 682241 877167 889434 1267019 1364482 1754334 2046723 2534038 2631501 3801057 4093446 5263002 6140169 7602114 8869133 11403171 12280338 17640803 17738266 18420507 22806342 26607399 34209513 35281606 36841014 52922409 53214798 68419026 79822197 105844818 123485621 158767227 159644394 229330439 239466591 246971242 317534454 370456863 458660878 476301681 478933182 687991317 740913726 952603362 1111370589 1375982634 1605313073 2063973951 2222741178 3210626146 3334111767 4127947902 4815939219 6191921853 6668223534 9631878438 12383843706 14447817657 28895635314 43343452971 86686905942