Search a number
-
+
51005000055105 = 345474172655973
BaseRepresentation
bin10111001100011100001101…
…11010001111100101000001
320200121000211011001210210000
423212032012322033211001
523141131220003230410
6300251212404230213
713512663310064235
oct1346160672174501
9220530734053700
1051005000055105
111528510a919428
12587913b39b369
13225c99b8694b5
14c84925b285c5
155d6b5533ddc0
hex2e6386e8f941

51005000055105 has 40 divisors (see below), whose sum is σ = 91433147945832. Its totient is φ = 27202082764032.

The previous prime is 51005000055101. The next prime is 51005000055131. The reversal of 51005000055105 is 50155000050015.

51005000055105 is a `hidden beast` number, since 5 + 1 + 0 + 0 + 500 + 0 + 0 + 55 + 105 = 666.

51005000055105 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 842740524081 + 50162259531024 = 918009^2 + 7082532^2 .

It is not a de Polignac number, because 51005000055105 - 22 = 51005000055101 is a prime.

It is a super-2 number, since 2×510050000551052 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (51005000055101) 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 39 ways as a sum of consecutive naturals, for example, 17875899 + ... + 20531871.

Almost surely, 251005000055105 is an apocalyptic number.

It is an amenable number.

51005000055105 is a deficient number, since it is larger than the sum of its proper divisors (40428147890727).

51005000055105 is a wasteful number, since it uses less digits than its factorization.

51005000055105 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2703407 (or 2703398 counting only the distinct ones).

The product of its (nonzero) digits is 3125, while the sum is 27.

The spelling of 51005000055105 in words is "fifty-one trillion, five billion, fifty-five thousand, one hundred five".

Divisors: 1 3 5 9 15 27 45 81 135 405 47417 142251 237085 426753 711255 1280259 2133765 2655973 3840777 6401295 7967919 13279865 19203885 23903757 39839595 71711271 119518785 215133813 358556355 1075669065 125938271741 377814815223 629691358705 1133444445669 1889074076115 3400333337007 5667222228345 10201000011021 17001666685035 51005000055105