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42692381127 = 3311143745391
BaseRepresentation
bin100111110000101010…
…100000100111000111
311002012022020200002000
4213300222200213013
51144413222144002
631340153520343
73040646152314
oct476052404707
9132168220060
1042692381127
1117118810910
1283357130b3
134044acc1a6
1420cddb9d0b
15119d06461c
hex9f0aa09c7

42692381127 has 16 divisors (see below), whose sum is σ = 68997788160. Its totient is φ = 25874170200.

The previous prime is 42692381107. The next prime is 42692381159. The reversal of 42692381127 is 72118329624.

42692381127 is a `hidden beast` number, since 4 + 269 + 2 + 381 + 1 + 2 + 7 = 666.

It is not a de Polignac number, because 42692381127 - 219 = 42691856839 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (42692381107) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 71872399 + ... + 71872992.

It is an arithmetic number, because the mean of its divisors is an integer number (4312361760).

Almost surely, 242692381127 is an apocalyptic number.

42692381127 is a deficient number, since it is larger than the sum of its proper divisors (26305407033).

42692381127 is a wasteful number, since it uses less digits than its factorization.

42692381127 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 143745411 (or 143745405 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 42692381127 in words is "forty-two billion, six hundred ninety-two million, three hundred eighty-one thousand, one hundred twenty-seven".

Divisors: 1 3 9 11 27 33 99 297 143745391 431236173 1293708519 1581199301 3881125557 4743597903 14230793709 42692381127