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542250345132125 = 5372229338609101
BaseRepresentation
bin111101101001011000111111…
…1001100110111000001011101
32122002221121220212212220002122
41323102301333030313001131
51032033212201323212000
65201134211500032325
7222134203023160400
oct17322617714670135
92562847825786078
10542250345132125
11147861097431833
12509978bb5326a5
131a374cacc21c96
1497c90b1997d37
1542a5298888085
hex1ed2c7f33705d

542250345132125 has 48 divisors (see below), whose sum is σ = 787558037653296. Its totient is φ = 371666640240000.

The previous prime is 542250345132071. The next prime is 542250345132127. The reversal of 542250345132125 is 521231543052245.

It can be written as a sum of positive squares in 8 ways, for example, as 178305519965881 + 363944825166244 = 13353109^2 + 19077338^2 .

It is not a de Polignac number, because 542250345132125 - 242 = 537852298621021 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542250345132127) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 5259926 + ... + 33349175.

It is an arithmetic number, because the mean of its divisors is an integer number (16407459117777).

Almost surely, 2542250345132125 is an apocalyptic number.

It is an amenable number.

542250345132125 is a deficient number, since it is larger than the sum of its proper divisors (245307692521171).

542250345132125 is a wasteful number, since it uses less digits than its factorization.

542250345132125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38611423 (or 38611406 counting only the distinct ones).

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

The spelling of 542250345132125 in words is "five hundred forty-two trillion, two hundred fifty billion, three hundred forty-five million, one hundred thirty-two thousand, one hundred twenty-five".

Divisors: 1 5 7 25 35 49 125 175 245 875 1225 2293 6125 11465 16051 57325 80255 112357 286625 401275 561785 2006375 2808925 14044625 38609101 193045505 270263707 965227525 1351318535 1891845949 4826137625 6756592675 9459229745 33782963375 47296148725 88530668593 236480743625 442653342965 619714680151 2213266714825 3098573400755 4338002761057 11066333574125 15492867003775 21690013805285 77464335018875 108450069026425 542250345132125