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542364306653 = 132347591673917
BaseRepresentation
bin1111110010001110110…
…11101000110011011101
31220211221022010110202002
413321013123220303131
532341230230303103
61053054141212045
754120202353431
oct7710733506335
91824838113662
10542364306653
1119a01956a084
1289144861025
133c1b5c9c750
141c3717dc9c1
15e194e90488
hex7e476e8cdd

542364306653 has 64 divisors (see below), whose sum is σ = 636950200320. Its totient is φ = 457868243712.

The previous prime is 542364306641. The next prime is 542364306691. The reversal of 542364306653 is 356603463245.

It is a de Polignac number, because none of the positive numbers 2k-542364306653 is a prime.

It is a super-2 number, since 2×5423643066532 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (47).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 542364306598 and 542364306607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (542364306853) 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, 138462251 + ... + 138466167.

It is an arithmetic number, because the mean of its divisors is an integer number (9952346880).

Almost surely, 2542364306653 is an apocalyptic number.

It is an amenable number.

542364306653 is a deficient number, since it is larger than the sum of its proper divisors (94585893667).

542364306653 is a wasteful number, since it uses less digits than its factorization.

542364306653 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4226.

The product of its (nonzero) digits is 4665600, while the sum is 47.

Adding to 542364306653 its reverse (356603463245), we get a palindrome (898967769898).

The spelling of 542364306653 in words is "five hundred forty-two billion, three hundred sixty-four million, three hundred six thousand, six hundred fifty-three".

Divisors: 1 13 23 47 59 167 299 611 767 1081 1357 2171 2773 3841 3917 7849 9853 14053 17641 36049 49933 50921 63779 90091 102037 128089 180527 184099 226619 231103 463091 654139 829127 1171183 2346851 2393287 2946047 3004339 4234277 5315369 6020183 8503807 10651093 10861841 15045197 30744533 38594201 55045601 69099797 138464209 141203933 195587561 249822343 399678929 501724613 707124259 887666623 1813927447 3247690459 9192615367 11539666099 23581056811 41720331281 542364306653