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10055050027 = 1121729168559
BaseRepresentation
bin10010101110101001…
…11110001100101011
3221221202100110120021
421113110332030223
5131043043100102
64341430341311
7504113341441
oct112724761453
927852313507
1010055050027
11429a8a4a00
121b474ba837
13c43223359
146b55b2b91
153dcb34137
hex25753e32b

10055050027 has 24 divisors (see below), whose sum is σ = 12105979200. Its totient is φ = 8306538240.

The previous prime is 10055049997. The next prime is 10055050069. The reversal of 10055050027 is 72005055001.

It is a happy number.

It is not a de Polignac number, because 10055050027 - 27 = 10055049899 is a prime.

It is a super-2 number, since 2×100550500272 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 10055049983 and 10055050010.

It is not an unprimeable number, because it can be changed into a prime (10055050087) 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 23 ways as a sum of consecutive naturals, for example, 24627 + ... + 143932.

It is an arithmetic number, because the mean of its divisors is an integer number (504415800).

Almost surely, 210055050027 is an apocalyptic number.

10055050027 is a gapful number since it is divisible by the number (17) formed by its first and last digit.

10055050027 is a deficient number, since it is larger than the sum of its proper divisors (2050929173).

10055050027 is a wasteful number, since it uses less digits than its factorization.

10055050027 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168627 (or 168616 counting only the distinct ones).

The product of its (nonzero) digits is 1750, while the sum is 25.

The spelling of 10055050027 in words is "ten billion, fifty-five million, fifty thousand, twenty-seven".

Divisors: 1 11 17 29 121 187 319 493 2057 3509 5423 59653 168559 1854149 2865503 4888211 20395639 31520533 53770321 83099587 346725863 591473531 914095457 10055050027