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42053076999 = 32531015231669
BaseRepresentation
bin100111001010100011…
…110000100000000111
311000112202021122200100
4213022203300200013
51142111041430444
631152515215143
73016054154013
oct471243604007
9130482248610
1042053076999
111691a95819a
1281975a74b3
133c7252171b
14206d121543
151161d80e69
hex9ca8f0807

42053076999 has 48 divisors (see below), whose sum is σ = 62659228320. Its totient is φ = 27165715200.

The previous prime is 42053076971. The next prime is 42053077007. The reversal of 42053076999 is 99967035024.

42053076999 is a `hidden beast` number, since 42 + 0 + 530 + 7 + 69 + 9 + 9 = 666.

It is not a de Polignac number, because 42053076999 - 212 = 42053072903 is a prime.

It is a super-2 number, since 2×420530769992 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42053077999) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25195737 + ... + 25197405.

It is an arithmetic number, because the mean of its divisors is an integer number (1305400590).

Almost surely, 242053076999 is an apocalyptic number.

42053076999 is a deficient number, since it is larger than the sum of its proper divisors (20606151321).

42053076999 is a wasteful number, since it uses less digits than its factorization.

42053076999 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2352 (or 2349 counting only the distinct ones).

The product of its (nonzero) digits is 3674160, while the sum is 54.

The spelling of 42053076999 in words is "forty-two billion, fifty-three million, seventy-six thousand, nine hundred ninety-nine".

Divisors: 1 3 9 53 101 159 303 477 523 909 1569 1669 4707 5007 5353 15021 16059 27719 48177 52823 83157 88457 158469 168569 249471 265371 475407 505707 796113 872887 1517121 2618661 2799619 7855983 8398857 8934157 25196571 26802471 46263011 80407413 88161587 138789033 264484761 416367099 793454283 4672564111 14017692333 42053076999