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542310545013245 = 5192379792741571
BaseRepresentation
bin111101101001110101000001…
…1011001001011100111111101
32122010011101022022120201012022
41323103222003121023213331
51032040203444010410440
65201222005224245525
7222141433600546031
oct17323520331134775
92563141268521168
10542310545013245
111478846797204a8
12509a75003108a5
131a37a884bc4308
1497cbd82bdc1c1
1542a6b1d91ecb5
hex1ed3a8364b9fd

542310545013245 has 24 divisors (see below), whose sum is σ = 688638748764960. Its totient is φ = 409929836813280.

The previous prime is 542310545013239. The next prime is 542310545013301.

It is a happy number.

542310545013245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542310545013245 - 210 = 542310545012221 is a prime.

It is a super-3 number, since 3×5423105450132453 (a number of 45 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 542310545013196 and 542310545013205.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 395686691 + ... + 397054880.

It is an arithmetic number, because the mean of its divisors is an integer number (28693281198540).

Almost surely, 2542310545013245 is an apocalyptic number.

It is an amenable number.

542310545013245 is a deficient number, since it is larger than the sum of its proper divisors (146328203751715).

542310545013245 is a wasteful number, since it uses less digits than its factorization.

542310545013245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 792741993 (or 792741974 counting only the distinct ones).

The product of its (nonzero) digits is 1440000, while the sum is 44.

The spelling of 542310545013245 in words is "five hundred forty-two trillion, three hundred ten billion, five hundred forty-five million, thirteen thousand, two hundred forty-five".

Divisors: 1 5 19 95 361 379 1805 1895 7201 36005 136819 684095 792741571 3963707855 15062089849 75310449245 286179707131 300449055409 1430898535655 1502245277045 5708532052771 28542660263855 108462109002649 542310545013245