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10006010055 = 335175342281
BaseRepresentation
bin10010101000110011…
…11001100011000111
3221211100001222101000
421110121321203013
5130443014310210
64332515304343
7502646452656
oct112431714307
927740058330
1010006010055
11427514a4a8
121b32bab0b3
13c36012c12
146acc8919d
153d8698ac0
hex2546798c7

10006010055 has 32 divisors (see below), whose sum is σ = 17799030720. Its totient is φ = 5333368320.

The previous prime is 10006010051. The next prime is 10006010123. The reversal of 10006010055 is 55001060001.

10006010055 is a `hidden beast` number, since 10 + 0 + 0 + 601 + 0 + 0 + 55 = 666.

10006010055 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 10006010055 - 22 = 10006010051 is a prime.

It is a super-2 number, since 2×100060100552 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10006010051) 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 31 ways as a sum of consecutive naturals, for example, 215515 + ... + 257795.

It is an arithmetic number, because the mean of its divisors is an integer number (556219710).

Almost surely, 210006010055 is an apocalyptic number.

10006010055 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

10006010055 is a deficient number, since it is larger than the sum of its proper divisors (7793020665).

10006010055 is a wasteful number, since it uses less digits than its factorization.

10006010055 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44048 (or 44042 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

Adding to 10006010055 its reverse (55001060001), we get a palindrome (65007070056).

The spelling of 10006010055 in words is "ten billion, six million, ten thousand, fifty-five".

Divisors: 1 3 5 9 15 27 45 135 1753 5259 8765 15777 26295 42281 47331 78885 126843 211405 236655 380529 634215 1141587 1902645 5707935 74118593 222355779 370592965 667067337 1111778895 2001202011 3335336685 10006010055