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84868865172 = 223271336717057
BaseRepresentation
bin100111100001010010…
…1000001110010010100
322010001122202001101200
41033002211001302110
52342302412141142
6102553242152500
76063062310540
oct1170245016224
9263048661350
1084868865172
1132aa12975a3
12145464b2730
138006a6b520
144171662a20
15231ab7064c
hex13c2941c94

84868865172 has 144 divisors (see below), whose sum is σ = 264145819392. Its totient is φ = 22373729280.

The previous prime is 84868865171. The next prime is 84868865183. The reversal of 84868865172 is 27156886848.

84868865172 is a `hidden beast` number, since 8 + 486 + 8 + 86 + 5 + 1 + 72 = 666.

It is a super-2 number, since 2×848688651722 (a number of 23 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (84868865171) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12022668 + ... + 12029724.

It is an arithmetic number, because the mean of its divisors is an integer number (1834345968).

Almost surely, 284868865172 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 84868865172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (132072909696).

84868865172 is an abundant number, since it is smaller than the sum of its proper divisors (179276954220).

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

84868865172 is a wasteful number, since it uses less digits than its factorization.

84868865172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10758 (or 10753 counting only the distinct ones).

The product of its digits is 41287680, while the sum is 63.

The spelling of 84868865172 in words is "eighty-four billion, eight hundred sixty-eight million, eight hundred sixty-five thousand, one hundred seventy-two".

Divisors: 1 2 3 4 6 7 9 12 13 14 18 21 26 28 36 39 42 52 63 78 84 91 117 126 156 182 234 252 273 364 468 546 819 1092 1638 3276 3671 7057 7342 11013 14114 14684 21171 22026 25697 28228 33039 42342 44052 47723 49399 51394 63513 66078 77091 84684 91741 95446 98798 102788 127026 132156 143169 148197 154182 183482 190892 197596 231273 254052 275223 286338 296394 308364 334061 366964 429507 444591 462546 550446 572676 592788 642187 668122 825669 859014 889182 925092 1002183 1100892 1284374 1336244 1651338 1718028 1778364 1926561 2004366 2568748 3006549 3302676 3853122 4008732 5779683 6013098 7706244 11559366 12026196 23118732 25906247 51812494 77718741 103624988 155437482 181343729 233156223 310874964 336781211 362687458 466312446 544031187 673562422 725374916 932624892 1010343633 1088062374 1347124844 1632093561 2020687266 2176124748 2357468477 3031030899 3264187122 4041374532 4714936954 6062061798 6528374244 7072405431 9429873908 12124123596 14144810862 21217216293 28289621724 42434432586 84868865172