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54293311339245 = 33511101935879443
BaseRepresentation
bin11000101100001001001011…
…00010010011101011101101
321010020101112012212211012000
430112010211202103223231
524104020200200323440
6311250000343202513
714302363603605126
oct1426044542235355
9233211465784160
1054293311339245
1116332733911150
12610a4a8146439
13243aab66b2484
14d59b4b61504d
15642460ead730
hex316125893aed

54293311339245 has 64 divisors (see below), whose sum is σ = 105399454694400. Its totient is φ = 26298195808320.

The previous prime is 54293311339181. The next prime is 54293311339301.

54293311339245 is a `hidden beast` number, since 5 + 4 + 29 + 33 + 11 + 339 + 245 = 666.

54293311339245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 54293311339245 - 26 = 54293311339181 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 54293311339191 and 54293311339200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 16426507 + ... + 19452936.

It is an arithmetic number, because the mean of its divisors is an integer number (1646866479600).

Almost surely, 254293311339245 is an apocalyptic number.

54293311339245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

54293311339245 is a deficient number, since it is larger than the sum of its proper divisors (51106143355155).

54293311339245 is a wasteful number, since it uses less digits than its factorization.

54293311339245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35880487 (or 35880481 counting only the distinct ones).

The product of its digits is 10497600, while the sum is 54.

The spelling of 54293311339245 in words is "fifty-four trillion, two hundred ninety-three billion, three hundred eleven million, three hundred thirty-nine thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 45 55 99 135 165 297 495 1019 1485 3057 5095 9171 11209 15285 27513 33627 45855 56045 100881 137565 168135 302643 504405 1513215 35879443 107638329 179397215 322914987 394673873 538191645 968744961 1184021619 1614574935 1973369365 3552064857 4843724805 5920108095 10656194571 17760324285 36561152417 53280972855 109683457251 182805762085 329050371753 402172676587 548417286255 987151115259 1206518029761 1645251858765 2010863382935 3619554089283 4935755576295 6032590148805 10858662267849 18097770446415 54293311339245