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858409094268 = 22321117827315413
BaseRepresentation
bin11000111110111010010…
…10110100110001111100
310001001201000011011100100
430133131022310301330
5103031010212004033
61454203034001100
7116006114624415
oct14373512646174
93031630134310
10858409094268
1130105a611830
1211a447576190
1362c41c3630b
142d79381080c
15174e1040513
hexc7dd2b4c7c

858409094268 has 144 divisors (see below), whose sum is σ = 2506836530016. Its totient is φ = 244777082880.

The previous prime is 858409094237. The next prime is 858409094273. The reversal of 858409094268 is 862490904858.

858409094268 is a `hidden beast` number, since 8 + 584 + 0 + 9 + 0 + 9 + 42 + 6 + 8 = 666.

It is a super-2 number, since 2×8584090942682 (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

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, 55686130 + ... + 55701542.

It is an arithmetic number, because the mean of its divisors is an integer number (17408587014).

Almost surely, 2858409094268 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 858409094268, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1253418265008).

858409094268 is an abundant number, since it is smaller than the sum of its proper divisors (1648427435748).

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

858409094268 is a wasteful number, since it uses less digits than its factorization.

858409094268 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23724 (or 23719 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 63.

The spelling of 858409094268 in words is "eight hundred fifty-eight billion, four hundred nine million, ninety-four thousand, two hundred sixty-eight".

Divisors: 1 2 3 4 6 9 11 12 17 18 22 33 34 36 44 51 66 68 99 102 132 153 187 198 204 306 374 396 561 612 748 1122 1683 2244 3366 6732 8273 15413 16546 24819 30826 33092 46239 49638 61652 74457 91003 92478 99276 138717 140641 148914 169543 182006 184956 262021 273009 277434 281282 297828 339086 364012 421923 508629 524042 546018 554868 562564 678172 786063 819027 843846 1017258 1048084 1092036 1265769 1525887 1547051 1572126 1638054 1687692 2034516 2358189 2531538 2882231 3051774 3094102 3144252 3276108 4641153 4716378 5063076 5764462 6103548 6188204 8646693 9282306 9432756 11528924 13923459 17293386 18564612 25940079 27846918 34586772 51880158 55693836 103760316 127511749 255023498 382535247 510046996 765070494 1147605741 1402629239 1530140988 2167699733 2295211482 2805258478 4207887717 4335399466 4590422964 5610516956 6503099199 8415775434 8670798932 12623663151 13006198398 16831550868 19509297597 23844697063 25247326302 26012396796 39018595194 47689394126 50494652604 71534091189 78037190388 95378788252 143068182378 214602273567 286136364756 429204547134 858409094268