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242116077511 = 7311292212783
BaseRepresentation
bin1110000101111100111…
…1100010011111000111
3212010221111010002122001
43201133033202133013
512431323203440021
6303120535450131
723330601463000
oct3413717423707
9763844102561
10242116077511
1193754239630
123ab10226947
1319aa68cb4b9
14ba0b7221a7
156470aec091
hex385f3e27c7

242116077511 has 32 divisors (see below), whose sum is σ = 318640896000. Its totient is φ = 182156214240.

The previous prime is 242116077509. The next prime is 242116077571. The reversal of 242116077511 is 115770611242.

It is not a de Polignac number, because 242116077511 - 21 = 242116077509 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (242116077571) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 996975 + ... + 1215808.

It is an arithmetic number, because the mean of its divisors is an integer number (9957528000).

Almost surely, 2242116077511 is an apocalyptic number.

242116077511 is a deficient number, since it is larger than the sum of its proper divisors (76524818489).

242116077511 is a wasteful number, since it uses less digits than its factorization.

242116077511 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2212844 (or 2212830 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 37.

Adding to 242116077511 its reverse (115770611242), we get a palindrome (357886688753).

The spelling of 242116077511 in words is "two hundred forty-two billion, one hundred sixteen million, seventy-seven thousand, five hundred eleven".

Divisors: 1 7 11 29 49 77 203 319 343 539 1421 2233 3773 9947 15631 109417 2212783 15489481 24340613 64170707 108426367 170384291 449194949 705877777 758984569 1192690037 3144364643 4941144439 8348830259 22010552501 34588011073 242116077511