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10542305142054 = 23671032951709
BaseRepresentation
bin1001100101101001001001…
…0110100110010100100110
31101022211112101000212000000
42121122102112212110212
52340211120104021204
634231022414202130
72135441102113350
oct231322226462446
941284471025000
1010542305142054
1133a4a6a462934
1212232047b3346
135b619aab131a
14286370b2a0d0
15134369ae8039
hex996925a6526

10542305142054 has 56 divisors (see below), whose sum is σ = 27096389256720. Its totient is φ = 3012087180528.

The previous prime is 10542305142053. The next prime is 10542305142097. The reversal of 10542305142054 is 45024150324501.

10542305142054 is a `hidden beast` number, since 1 + 0 + 5 + 42 + 30 + 514 + 20 + 54 = 666.

It is a super-3 number, since 3×105423051420543 (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10542305142053) by changing a digit.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 516465649 + ... + 516486060.

It is an arithmetic number, because the mean of its divisors is an integer number (483864093870).

Almost surely, 210542305142054 is an apocalyptic number.

10542305142054 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

10542305142054 is an abundant number, since it is smaller than the sum of its proper divisors (16554084114666).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10542305142054 is an equidigital number, since it uses as much as digits as its factorization.

10542305142054 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1032951736 (or 1032951721 counting only the distinct ones).

The product of its (nonzero) digits is 96000, while the sum is 36.

Adding to 10542305142054 its reverse (45024150324501), we get a palindrome (55566455466555).

The spelling of 10542305142054 in words is "ten trillion, five hundred forty-two billion, three hundred five million, one hundred forty-two thousand, fifty-four".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 54 63 81 126 162 189 243 378 486 567 729 1134 1458 1701 3402 5103 10206 1032951709 2065903418 3098855127 6197710254 7230661963 9296565381 14461323926 18593130762 21691985889 27889696143 43383971778 55779392286 65075957667 83669088429 130151915334 167338176858 195227873001 251007265287 390455746002 502014530574 585683619003 753021795861 1171367238006 1506043591722 1757050857009 3514101714018 5271152571027 10542305142054