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27142370515146 = 23211154313894667
BaseRepresentation
bin1100010101111100100110…
…10110100101100011001010
310120002210012110200000020110
412022332103112211203022
512024200033322441041
6133421011033535150
75500654146503235
oct612762326454312
9116083173600213
1027142370515146
118715018612647
123064458b744b6
13121b68c635623
1469b9aa86841c
1532107e456516
hex18af935a58ca

27142370515146 has 32 divisors (see below), whose sum is σ = 54577366645248. Its totient is φ = 8998741488240.

The previous prime is 27142370515081. The next prime is 27142370515187. The reversal of 27142370515146 is 64151507324172.

It is a happy number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 27142370515095 and 27142370515104.

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 15 ways as a sum of consecutive naturals, for example, 4993896 + ... + 8900771.

It is an arithmetic number, because the mean of its divisors is an integer number (1705542707664).

Almost surely, 227142370515146 is an apocalyptic number.

27142370515146 is an abundant number, since it is smaller than the sum of its proper divisors (27434996130102).

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

27142370515146 is a wasteful number, since it uses less digits than its factorization.

27142370515146 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13896426.

The product of its (nonzero) digits is 1411200, while the sum is 48.

The spelling of 27142370515146 in words is "twenty-seven trillion, one hundred forty-two billion, three hundred seventy million, five hundred fifteen thousand, one hundred forty-six".

Divisors: 1 2 3 6 211 422 633 1266 1543 3086 4629 9258 325573 651146 976719 1953438 13894667 27789334 41684001 83368002 2931774737 5863549474 8795324211 17590648422 21439471181 42878942362 64318413543 128636827086 4523728419191 9047456838382 13571185257573 27142370515146