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542385583245 = 33511438494019
BaseRepresentation
bin1111110010010001011…
…00110011010010001101
31220211222210011102202000
413321020230303102031
532341301202130440
61053100221222513
754120551250342
oct7711054632215
91824883142660
10542385583245
1119a02a581540
128914ba01a39
133c1ba50bc4c
141c37457a7c9
15e196c94730
hex7e48b3348d

542385583245 has 64 divisors (see below), whose sum is σ = 1076362214400. Its totient is φ = 256859104320.

The previous prime is 542385583237. The next prime is 542385583249.

542385583245 is a `hidden beast` number, since 5 + 4 + 2 + 38 + 5 + 583 + 24 + 5 = 666.

542385583245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542385583245 - 23 = 542385583237 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 542385583191 and 542385583200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542385583249) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4183155 + ... + 4310864.

It is an arithmetic number, because the mean of its divisors is an integer number (16818159600).

Almost surely, 2542385583245 is an apocalyptic number.

542385583245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542385583245 is a deficient number, since it is larger than the sum of its proper divisors (533976631155).

542385583245 is a wasteful number, since it uses less digits than its factorization.

542385583245 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8494087 (or 8494081 counting only the distinct ones).

The product of its digits is 23040000, while the sum is 54.

The spelling of 542385583245 in words is "five hundred forty-two billion, three hundred eighty-five million, five hundred eighty-three thousand, two hundred forty-five".

Divisors: 1 3 5 9 11 15 27 33 43 45 55 99 129 135 165 215 297 387 473 495 645 1161 1419 1485 1935 2365 4257 5805 7095 12771 21285 63855 8494019 25482057 42470095 76446171 93434209 127410285 229338513 280302627 365242817 382230855 467171045 840907881 1095728451 1146692565 1401513135 1826214085 2522723643 3287185353 4017670987 4204539405 5478642255 9861556059 12053012961 12613618215 16435926765 20088354935 36159038883 49307780295 60265064805 108477116649 180795194415 542385583245