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4005135055 = 53159437959
BaseRepresentation
bin1110111010111001…
…1000001011001111
3101100010100221102101
43232232120023033
531200303310210
61501231535531
7201152041405
oct35656301317
911303327371
104005135055
111775881279
1293938a5a7
134ba9cbacc
1429dccd475
1518693ba3a
hexeeb982cf

4005135055 has 16 divisors (see below), whose sum is σ = 5045299200. Its totient is φ = 3048187680.

The previous prime is 4005135047. The next prime is 4005135059. The reversal of 4005135055 is 5505315004.

It is not a de Polignac number, because 4005135055 - 23 = 4005135047 is a prime.

It is a super-2 number, since 2×40051350552 = 32082213617579706050, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4005135059) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 209835 + ... + 228124.

It is an arithmetic number, because the mean of its divisors is an integer number (315331200).

Almost surely, 24005135055 is an apocalyptic number.

4005135055 is a deficient number, since it is larger than the sum of its proper divisors (1040164145).

4005135055 is a wasteful number, since it uses less digits than its factorization.

4005135055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438054.

The product of its (nonzero) digits is 7500, while the sum is 28.

The square root of 4005135055 is about 63286.1363570253. The cubic root of 4005135055 is about 1588.0800441383.

The spelling of 4005135055 in words is "four billion, five million, one hundred thirty-five thousand, fifty-five".

Divisors: 1 5 31 59 155 295 1829 9145 437959 2189795 13576729 25839581 67883645 129197905 801027011 4005135055