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84867421716 = 223271135938521
BaseRepresentation
bin100111100001001111…
…1100001011000010100
322010001120000201100100
41033002133201120110
52342302024443331
6102553151214100
76063044116320
oct1170237413024
9263046021310
1084867421716
1132aa04a1060
1214545b17330
1380066844cc
1441713a8980
15231a987ae6
hex13c27e1614

84867421716 has 144 divisors (see below), whose sum is σ = 267566802048. Its totient is φ = 22034764800.

The previous prime is 84867421703. The next prime is 84867421781. The reversal of 84867421716 is 61712476848.

84867421716 is a `hidden beast` number, since 8 + 486 + 74 + 21 + 71 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9955536 + ... + 9964056.

It is an arithmetic number, because the mean of its divisors is an integer number (1858102792).

Almost surely, 284867421716 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 84867421716, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (133783401024).

84867421716 is an abundant number, since it is smaller than the sum of its proper divisors (182699380332).

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

84867421716 is a wasteful number, since it uses less digits than its factorization.

84867421716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12142 (or 12137 counting only the distinct ones).

The product of its digits is 3612672, while the sum is 54.

The spelling of 84867421716 in words is "eighty-four billion, eight hundred sixty-seven million, four hundred twenty-one thousand, seven hundred sixteen".

Divisors: 1 2 3 4 6 7 9 11 12 14 18 21 22 28 33 36 42 44 63 66 77 84 99 126 132 154 198 231 252 308 396 462 693 924 1386 2772 3593 7186 8521 10779 14372 17042 21558 25151 25563 32337 34084 39523 43116 50302 51126 59647 64674 75453 76689 79046 93731 100604 102252 118569 119294 129348 150906 153378 158092 178941 187462 226359 237138 238588 276661 281193 301812 306756 355707 357882 374924 452718 474276 536823 553322 562386 656117 711414 715764 829983 843579 905436 1073646 1106644 1124772 1312234 1422828 1659966 1687158 1968351 2147292 2489949 2624468 3319932 3374316 3936702 4979898 5905053 7873404 9959796 11810106 23620212 30615953 61231906 91847859 122463812 183695718 214311671 275543577 336775483 367391436 428623342 551087154 642935013 673550966 857246684 1010326449 1102174308 1285870026 1347101932 1928805039 2020652898 2357428381 2571740052 3030979347 3857610078 4041305796 4714856762 6061958694 7072285143 7715220156 9429713524 12123917388 14144570286 21216855429 28289140572 42433710858 84867421716