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542530035245 = 511172772094751
BaseRepresentation
bin1111110010100010100…
…11110101111000101101
31220212100211222100122002
413321101103311320231
532342100142111440
61053122421302045
754124254132242
oct7712123657055
91825324870562
10542530035245
1119a0a4074460
1289190264925
133c2114177c3
141c38981d5c9
15e1a47ca115
hex7e514f5e2d

542530035245 has 32 divisors (see below), whose sum is σ = 754714008576. Its totient is φ = 370016640000.

The previous prime is 542530035197. The next prime is 542530035251.

542530035245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542530035245 - 224 = 542513258029 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 542530035199 and 542530035208.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 788381 + ... + 1306370.

It is an arithmetic number, because the mean of its divisors is an integer number (23584812768).

Almost surely, 2542530035245 is an apocalyptic number.

542530035245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542530035245 is a deficient number, since it is larger than the sum of its proper divisors (212183973331).

542530035245 is a wasteful number, since it uses less digits than its factorization.

542530035245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2095061.

The product of its (nonzero) digits is 360000, while the sum is 38.

The spelling of 542530035245 in words is "five hundred forty-two billion, five hundred thirty million, thirty-five thousand, two hundred forty-five".

Divisors: 1 5 11 17 55 85 187 277 935 1385 3047 4709 15235 23545 51799 258995 2094751 10473755 23042261 35610767 115211305 178053835 391718437 580246027 1958592185 2901230135 6382706297 9864182459 31913531485 49320912295 108506007049 542530035245