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542247444742245 = 351123718144610859
BaseRepresentation
bin111101101001010111101001…
…0010100110000000001100101
32122002221100102202021211011020
41323102233102110300001211
51032033140231323222440
65201133012010401353
7222134041114234254
oct17322572224600145
92562840382254136
10542247444742245
1114785a939216a00
1250997230130259
131a37493a075958
1497c8cb86c079b
1542a5178e1d3d0
hex1ed2bd2530065

542247444742245 has 96 divisors (see below), whose sum is σ = 984823635169920. Its totient is φ = 254388956659200.

The previous prime is 542247444742229. The next prime is 542247444742271.

542247444742245 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 542247444742245 - 24 = 542247444742229 is a prime.

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 95 ways as a sum of consecutive naturals, for example, 10150375 + ... + 34460484.

It is an arithmetic number, because the mean of its divisors is an integer number (10258579533020).

Almost surely, 2542247444742245 is an apocalyptic number.

542247444742245 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

542247444742245 is a deficient number, since it is larger than the sum of its proper divisors (442576190427675).

542247444742245 is a wasteful number, since it uses less digits than its factorization.

542247444742245 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44611107 (or 44611096 counting only the distinct ones).

The product of its digits is 321126400, while the sum is 60.

The spelling of 542247444742245 in words is "five hundred forty-two trillion, two hundred forty-seven billion, four hundred forty-four million, seven hundred forty-two thousand, two hundred forty-five".

Divisors: 1 3 5 11 15 33 37 55 111 121 165 181 185 363 407 543 555 605 905 1221 1815 1991 2035 2715 4477 5973 6105 6697 9955 13431 20091 21901 22385 29865 33485 65703 67155 73667 100455 109505 221001 328515 368335 810337 1105005 2431011 4051685 12155055 44610859 133832577 223054295 490719449 669162885 1472158347 1650601783 2453597245 4951805349 5397913939 7360791735 8074565479 8253008915 16193741817 18156619613 24223696437 24759026745 26989569695 40372827395 54469858839 80968709085 88820220269 90783098065 121118482185 199722815743 266460660807 272349294195 298758922723 444101101345 599168447229 896276768169 977022422959 998614078715 1332303304035 1493794613615 2931067268877 2995842236145 3286348149953 4481383840845 4885112114795 9859044449859 14655336344385 16431740749765 36149829649483 49295222249295 108449488948449 180749148247415 542247444742245