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42166523565 = 345104114873
BaseRepresentation
bin100111010001010100…
…100001011010101101
311000211122202100010000
4213101110201122231
51142324112223230
631212050534513
73021632352015
oct472124413255
9130748670100
1042166523565
11169789a3291
128209597439
133c8cb9277a
142080212c45
15116bcdeb60
hex9d15216ad

42166523565 has 20 divisors (see below), whose sum is σ = 75587398524. Its totient is φ = 22488812352.

The previous prime is 42166523557. The next prime is 42166523593. The reversal of 42166523565 is 56532566124.

42166523565 is a `hidden beast` number, since 4 + 2 + 1 + 6 + 65 + 23 + 565 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 7733267721 + 34433255844 = 87939^2 + 185562^2 .

It is not a de Polignac number, because 42166523565 - 23 = 42166523557 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 42166523565.

It is a congruent number.

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 19 ways as a sum of consecutive naturals, for example, 52057032 + ... + 52057841.

Almost surely, 242166523565 is an apocalyptic number.

42166523565 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

42166523565 is a deficient number, since it is larger than the sum of its proper divisors (33420874959).

42166523565 is a wasteful number, since it uses less digits than its factorization.

42166523565 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104114890 (or 104114881 counting only the distinct ones).

The product of its digits is 1296000, while the sum is 45.

The spelling of 42166523565 in words is "forty-two billion, one hundred sixty-six million, five hundred twenty-three thousand, five hundred sixty-five".

Divisors: 1 3 5 9 15 27 45 81 135 405 104114873 312344619 520574365 937033857 1561723095 2811101571 4685169285 8433304713 14055507855 42166523565