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20022434362656 = 25321161103610047
BaseRepresentation
bin1001000110101110101100…
…00101100111010100100000
32121220010101212200012200100
410203113112011213110200
510111021421144101111
6110330102424222400
74134400405660665
oct443272605472440
977803355605610
1020022434362656
11641a515239820
1222b459490aa00
13b23152118c3b
144d313b989a6c
1524ac696b4756
hex1235d6167520

20022434362656 has 144 divisors (see below), whose sum is σ = 63133332208128. Its totient is φ = 5967938649600.

The previous prime is 20022434362639. The next prime is 20022434362747. The reversal of 20022434362656 is 65626343422002.

20022434362656 is a `hidden beast` number, since 2 + 0 + 0 + 224 + 3 + 4 + 362 + 65 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×200224343626563 (a number of 41 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51611776 + ... + 51998271.

It is an arithmetic number, because the mean of its divisors is an integer number (438425918112).

Almost surely, 220022434362656 is an apocalyptic number.

It is an amenable number.

20022434362656 is an abundant number, since it is smaller than the sum of its proper divisors (43110897845472).

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

20022434362656 is a wasteful number, since it uses less digits than its factorization.

20022434362656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103610135 (or 103610124 counting only the distinct ones).

The product of its (nonzero) digits is 2488320, while the sum is 45.

Adding to 20022434362656 its reverse (65626343422002), we get a palindrome (85648777784658).

The spelling of 20022434362656 in words is "twenty trillion, twenty-two billion, four hundred thirty-four million, three hundred sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 32 33 36 44 48 61 66 72 88 96 99 122 132 144 176 183 198 244 264 288 352 366 396 488 528 549 671 732 792 976 1056 1098 1342 1464 1584 1952 2013 2196 2684 2928 3168 4026 4392 5368 5856 6039 8052 8784 10736 12078 16104 17568 21472 24156 32208 48312 64416 96624 193248 103610047 207220094 310830141 414440188 621660282 828880376 932490423 1139710517 1243320564 1657760752 1864980846 2279421034 2486641128 3315521504 3419131551 3729961692 4558842068 4973282256 6320212867 6838263102 7459923384 9117684136 9946564512 10257394653 12640425734 13676526204 14919846768 18235368272 18960638601 20514789306 25280851468 27353052408 29839693536 36470736544 37921277202 41029578612 50561702936 54706104816 56881915803 69522341537 75842554404 82059157224 101123405872 109412209632 113763831606 139044683074 151685108808 164118314448 202246811744 208567024611 227527663212 278089366148 303370217616 328236628896 417134049222 455055326424 556178732296 606740435232 625701073833 834268098444 910110652848 1112357464592 1251402147666 1668536196888 1820221305696 2224714929184 2502804295332 3337072393776 5005608590664 6674144787552 10011217181328 20022434362656