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20540203401456 = 2433220721543619
BaseRepresentation
bin1001010101110011000111…
…00001110000000011110000
32200201121212002110121202000
410222321203201300003300
510143012314032321311
6111404012243454000
74216660250124234
oct452714341600360
980647762417660
1020540203401456
1165aa06237a052
1223789b4687300
13b5cc1868c64b
14510218a785c4
1525947027d056
hex12ae638700f0

20540203401456 has 80 divisors (see below), whose sum is σ = 58984708070400. Its totient is φ = 6843631868352.

The previous prime is 20540203401449. The next prime is 20540203401457. The reversal of 20540203401456 is 65410430204502.

20540203401456 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 0 + 203 + 401 + 45 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 20540203401456.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20540203401457) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9818386 + ... + 11725233.

It is an arithmetic number, because the mean of its divisors is an integer number (737308850880).

Almost surely, 220540203401456 is an apocalyptic number.

It is an amenable number.

20540203401456 is an abundant number, since it is smaller than the sum of its proper divisors (38444504668944).

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

20540203401456 is a wasteful number, since it uses less digits than its factorization.

20540203401456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21545843 (or 21545831 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 20540203401456 its reverse (65410430204502), we get a palindrome (85950633605958).

The spelling of 20540203401456 in words is "twenty trillion, five hundred forty billion, two hundred three million, four hundred one thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 2207 4414 6621 8828 13242 17656 19863 26484 35312 39726 52968 59589 79452 105936 119178 158904 238356 317808 476712 953424 21543619 43087238 64630857 86174476 129261714 172348952 193892571 258523428 344697904 387785142 517046856 581677713 775570284 1034093712 1163355426 1551140568 2326710852 3102281136 4653421704 9306843408 47546767133 95093534266 142640301399 190187068532 285280602798 380374137064 427920904197 570561205596 760748274128 855841808394 1141122411192 1283762712591 1711683616788 2282244822384 2567525425182 3423367233576 5135050850364 6846734467152 10270101700728 20540203401456