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2148730743816 = 233229843482553
BaseRepresentation
bin11111010001001010010…
…101010010110000001000
321121102020201222110200100
4133101022111102300020
5240201100032300231
64323040245005400
7311145356652666
oct37211225226010
97542221873610
102148730743816
117592a953aa88
122a85316b3860
13127816b81267
1475ddb843c36
153ad604411e6
hex1f44a552c08

2148730743816 has 24 divisors (see below), whose sum is σ = 5819479098030. Its totient is φ = 716243581248.

The previous prime is 2148730743799. The next prime is 2148730743881. The reversal of 2148730743816 is 6183470378412.

2148730743816 is a `hidden beast` number, since 21 + 487 + 30 + 74 + 38 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2109785300100 + 38945443716 = 1452510^2 + 197346^2 .

It is a tau number, because it is divible by the number of its divisors (24).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 14921741205 + ... + 14921741348.

Almost surely, 22148730743816 is an apocalyptic number.

It is an amenable number.

2148730743816 is an abundant number, since it is smaller than the sum of its proper divisors (3670748354214).

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

2148730743816 is a wasteful number, since it uses less digits than its factorization.

2148730743816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29843482565 (or 29843482558 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 2148730743816 in words is "two trillion, one hundred forty-eight billion, seven hundred thirty million, seven hundred forty-three thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 29843482553 59686965106 89530447659 119373930212 179060895318 238747860424 268591342977 358121790636 537182685954 716243581272 1074365371908 2148730743816