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54420566502445 = 511132291135317783
BaseRepresentation
bin11000101111110110001101…
…00010001110110000101101
321010200112222211220220120121
430113323012202032300231
524113111310011034240
6311424244011044541
714314520240624623
oct1427730642166055
9233615884826517
1054420566502445
11163816a605a810
12612b0a1740751
132449ab6a02300
14d61d80339513
1564590cd8204a
hex317ec688ec2d

54420566502445 has 96 divisors (see below), whose sum is σ = 79814754190080. Its totient is φ = 35269200046080.

The previous prime is 54420566502377. The next prime is 54420566502517.

54420566502445 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54420566502445 - 237 = 54283127548973 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54420566502392 and 54420566502401.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3060249024 + ... + 3060266806.

It is an arithmetic number, because the mean of its divisors is an integer number (831403689480).

Almost surely, 254420566502445 is an apocalyptic number.

54420566502445 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54420566502445 is a deficient number, since it is larger than the sum of its proper divisors (25394187687635).

54420566502445 is a wasteful number, since it uses less digits than its factorization.

54420566502445 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29207 (or 29194 counting only the distinct ones).

The product of its (nonzero) digits is 23040000, while the sum is 52.

The spelling of 54420566502445 in words is "fifty-four trillion, four hundred twenty billion, five hundred sixty-six million, five hundred two thousand, four hundred forty-five".

Divisors: 1 5 11 13 29 55 65 143 145 169 319 377 715 845 1595 1859 1885 4147 4901 9295 11353 17783 20735 24505 53911 56765 88915 124883 147589 195613 231179 269555 329237 515707 624415 737945 978065 1155895 1623479 1646185 1918657 2542969 2578535 3005327 3621607 4280081 5672777 6704191 8117395 9593285 12714845 15026635 18108035 21105227 21400405 28363885 33058597 33520955 47080891 55641053 73746101 87154483 105526135 165292985 201890399 235404455 278205265 368730505 435772415 612051583 958699313 1009451995 2220794389 2624575187 3060257915 4793496565 5854821571 11103971945 13122875935 28870327057 29274107855 34119477431 64403037281 76112680423 144351635285 170597387155 322015186405 375314251741 380563402115 837239484653 989464845499 1876571258705 4186197423265 4947324227495 10884113300489 54420566502445