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54604422440645 = 5711281701821877
BaseRepresentation
bin11000110101001100101010…
…01100111110011011000101
321011100010120002022021122012
430122212111030332123011
524124114324121100040
6312044531513544005
714334016330413230
oct1432462514763305
9234303502267565
1054604422440645
1116442672a2a380
12615a852715005
13246123746819c
14d6ac222a8417
1564a5bdd55865
hex31a99533e6c5

54604422440645 has 128 divisors (see below), whose sum is σ = 82295300865024. Its totient is φ = 33789772800000.

The previous prime is 54604422440629. The next prime is 54604422440713.

It is a happy number.

54604422440645 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54604422440645 - 24 = 54604422440629 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 54604422440593 and 54604422440602.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 62262738947 + ... + 62262739823.

It is an arithmetic number, because the mean of its divisors is an integer number (642932038008).

Almost surely, 254604422440645 is an apocalyptic number.

54604422440645 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54604422440645 is a deficient number, since it is larger than the sum of its proper divisors (27690878424379).

54604422440645 is a wasteful number, since it uses less digits than its factorization.

54604422440645 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2703.

The product of its (nonzero) digits is 14745600, while the sum is 50.

The spelling of 54604422440645 in words is "fifty-four trillion, six hundred four billion, four hundred twenty-two million, four hundred forty thousand, six hundred forty-five".

Divisors: 1 5 7 11 35 55 77 281 385 701 821 877 1405 1967 3091 3505 4105 4385 4907 5747 6139 7711 9031 9647 9835 15455 21637 24535 28735 30695 38555 45155 48235 53977 63217 67529 108185 196981 230701 246437 269885 316085 337645 575521 614777 720017 984905 1153505 1232185 1378867 1614907 1725059 2166791 2537711 2710807 2877605 3073885 3600085 4028647 4303439 5040119 6330731 6762547 6894335 7920187 8074535 8625295 10833955 12688555 13554035 15167537 17763977 18975649 20143235 21517195 25200595 31653655 33812735 39600935 44315117 47337829 55441309 75837685 88819885 94878245 161721401 172752337 202324777 221575585 236689145 277206545 504731917 808607005 863761685 1011623885 1132049807 1209266359 1416273439 1778935411 1900275707 2225572547 2523659585 3533123419 5552051087 5660249035 6046331795 7081367195 8894677055 9501378535 11127862735 12452547877 13301929949 15579007829 17665617095 27760255435 38864357609 62262739385 66509649745 77895039145 141829668677 194321788045 709148343385 992807680739 1560126355447 4964038403695 7800631777235 10920884488129 54604422440645