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20320332312312 = 2334131821291569
BaseRepresentation
bin1001001111011001100100…
…01100000110111011111000
32122221121022220020000110000
410213230302030012323320
510130412020032443222
6111115010511153000
74165044530526564
oct447546214067370
978847286200400
1020320332312312
11652489392752a
122342272215760
13b452785bc676
1450371b86a6a4
152538a25539ac
hex127b32306ef8

20320332312312 has 160 divisors (see below), whose sum is σ = 57420267973200. Its totient is φ = 6713528140800.

The previous prime is 20320332312299. The next prime is 20320332312323. The reversal of 20320332312312 is 21321323302302.

20320332312312 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 0 + 3 + 32 + 312 + 312 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 69547264 + ... + 69838832.

Almost surely, 220320332312312 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 20320332312312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28710133986600).

20320332312312 is an abundant number, since it is smaller than the sum of its proper divisors (37099935660888).

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

20320332312312 is a wasteful number, since it uses less digits than its factorization.

20320332312312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 292539 (or 292526 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 20320332312312 its reverse (21321323302302), we get a palindrome (41641655614614).

The spelling of 20320332312312 in words is "twenty trillion, three hundred twenty billion, three hundred thirty-two million, three hundred twelve thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 131 162 216 262 324 393 524 648 786 821 1048 1179 1572 1642 2358 2463 3144 3284 3537 4716 4926 6568 7074 7389 9432 9852 10611 14148 14778 19704 21222 22167 28296 29556 42444 44334 59112 66501 84888 88668 107551 133002 177336 215102 266004 291569 322653 430204 532008 583138 645306 860408 874707 967959 1166276 1290612 1749414 1935918 2332552 2581224 2624121 2903877 3498828 3871836 5248242 5807754 6997656 7743672 7872363 8711631 10496484 11615508 15744726 17423262 20992968 23231016 23617089 31489452 34846524 38195539 47234178 62978904 69693048 76391078 94468356 114586617 152782156 188936712 229173234 239378149 305564312 343759851 458346468 478756298 687519702 718134447 916692936 957512596 1031279553 1375039404 1436268894 1915025192 2062559106 2154403341 2750078808 2872537788 3093838659 4125118212 4308806682 5745075576 6187677318 6463210023 8250236424 8617613364 12375354636 12926420046 17235226728 19389630069 24750709272 25852840092 31358537519 38779260138 51705680184 62717075038 77558520276 94075612557 125434150076 155117040552 188151225114 250868300152 282226837671 376302450228 564453675342 752604900456 846680513013 1128907350684 1693361026026 2257814701368 2540041539039 3386722052052 5080083078078 6773444104104 10160166156156 20320332312312