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21212774842284 = 2234347563335131
BaseRepresentation
bin1001101001010111110111…
…11010001011111110101100
32210002220212202021211210000
410310223323322023332230
510240022230324423114
6113041003023544300
74316400223055034
oct464537372137654
983086782254700
1021212774842284
116839318423223
12246721745b090
13bab4824181cc
145349bd2608c4
1526bbd6349e09
hex134afbe8bfac

21212774842284 has 120 divisors (see below), whose sum is σ = 55713142634688. Its totient is φ = 7038003466080.

The previous prime is 21212774842283. The next prime is 21212774842289. The reversal of 21212774842284 is 48224847721212.

21212774842284 is a `hidden beast` number, since 2 + 1 + 2 + 12 + 77 + 484 + 2 + 2 + 84 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 21212774842284.

It is not an unprimeable number, because it can be changed into a prime (21212774842283) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 63129399 + ... + 63464529.

Almost surely, 221212774842284 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 21212774842284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27856571317344).

21212774842284 is an abundant number, since it is smaller than the sum of its proper divisors (34500367792404).

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

21212774842284 is a wasteful number, since it uses less digits than its factorization.

21212774842284 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336057 (or 336046 counting only the distinct ones).

The product of its digits is 6422528, while the sum is 54.

The spelling of 21212774842284 in words is "twenty-one trillion, two hundred twelve billion, seven hundred seventy-four million, eight hundred forty-two thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 324 347 563 694 1041 1126 1388 1689 2082 2252 3123 3378 4164 5067 6246 6756 9369 10134 12492 15201 18738 20268 28107 30402 37476 45603 56214 60804 91206 112428 182412 195361 335131 390722 586083 670262 781444 1005393 1172166 1340524 1758249 2010786 2344332 3016179 3516498 4021572 5274747 6032358 7032996 9048537 10549494 12064716 15824241 18097074 21098988 27145611 31648482 36194148 54291222 63296964 108582444 116290457 188678753 232580914 348871371 377357506 465161828 566036259 697742742 754715012 1046614113 1132072518 1395485484 1698108777 2093228226 2264145036 3139842339 3396217554 4186456452 5094326331 6279684678 6792435108 9419527017 10188652662 12559369356 15282978993 18839054034 20377305324 30565957986 37678108068 61131915972 65471527291 130943054582 196414581873 261886109164 392829163746 589243745619 785658327492 1178487491238 1767731236857 2356974982476 3535462473714 5303193710571 7070924947428 10606387421142 21212774842284