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427314526236 = 2232133159349669
BaseRepresentation
bin1100011011111011110…
…11100011100000011100
31111211222021200001220200
412031331323203200130
524000120004314421
6524150001143500
742605152354203
oct6157573434034
91454867601820
10427314526236
1115524aa01224
126a99692ab90
13313ac5347c0
1416979aba23a
15b1ae8ab726
hex637dee381c

427314526236 has 144 divisors (see below), whose sum is σ = 1202818256640. Its totient is φ = 127022929920.

The previous prime is 427314526207. The next prime is 427314526253. The reversal of 427314526236 is 632625413724.

427314526236 is a `hidden beast` number, since 4 + 2 + 7 + 3 + 14 + 5 + 2 + 623 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 427314526191 and 427314526200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 8578410 + ... + 8628078.

It is an arithmetic number, because the mean of its divisors is an integer number (8352904560).

Almost surely, 2427314526236 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 427314526236, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (601409128320).

427314526236 is an abundant number, since it is smaller than the sum of its proper divisors (775503730404).

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

427314526236 is a wasteful number, since it uses less digits than its factorization.

427314526236 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50316 (or 50311 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 45.

The spelling of 427314526236 in words is "four hundred twenty-seven billion, three hundred fourteen million, five hundred twenty-six thousand, two hundred thirty-six".

Divisors: 1 2 3 4 6 9 12 13 18 26 31 36 39 52 62 78 93 117 124 156 186 234 279 372 403 468 558 593 806 1116 1186 1209 1612 1779 2372 2418 3558 3627 4836 5337 7116 7254 7709 10674 14508 15418 18383 21348 23127 30836 36766 46254 49669 55149 69381 73532 92508 99338 110298 138762 149007 165447 198676 220596 238979 277524 298014 330894 447021 477958 596028 645697 661788 716937 894042 955916 1291394 1433874 1539739 1788084 1937091 2150811 2582788 2867748 3079478 3874182 4301622 4619217 5811273 6158956 7748364 8603244 9238434 11622546 13857651 18476868 20016607 23245092 27715302 29453717 40033214 55430604 58907434 60049821 80066428 88361151 117814868 120099642 176722302 180149463 240199284 265083453 353444604 360298926 382898321 530166906 720597852 765796642 913065227 1060333812 1148694963 1531593284 1826130454 2297389926 2739195681 3446084889 3652260908 4594779852 5478391362 6892169778 8217587043 10956782724 11869847951 13784339556 16435174086 23739695902 32870348172 35609543853 47479391804 71219087706 106828631559 142438175412 213657263118 427314526236