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6120106553 = 112292417237
BaseRepresentation
bin1011011001100100…
…10110101000111001
3120210112001121220002
411230302112220321
5100013221402203
62451143042345
7304443022151
oct55462265071
916715047802
106120106553
112660705700
1212297403b5
13766c2c332
14420b55761
1525c45ed88
hex16cc96a39

6120106553 has 24 divisors (see below), whose sum is σ = 6988868040. Its totient is φ = 5348851200.

The previous prime is 6120106543. The next prime is 6120106561. The reversal of 6120106553 is 3556010216.

6120106553 is digitally balanced in base 3, 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 2060887609 + 4059218944 = 45397^2 + 63712^2 .

It is not a de Polignac number, because 6120106553 - 214 = 6120090169 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is not an unprimeable number, because it can be changed into a prime (6120106513) 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 23 ways as a sum of consecutive naturals, for example, 842051 + ... + 849287.

It is an arithmetic number, because the mean of its divisors is an integer number (291202835).

Almost surely, 26120106553 is an apocalyptic number.

It is an amenable number.

6120106553 is a deficient number, since it is larger than the sum of its proper divisors (868761487).

6120106553 is a wasteful number, since it uses less digits than its factorization.

6120106553 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7529 (or 7518 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 29.

The square root of 6120106553 is about 78231.1098796380. The cubic root of 6120106553 is about 1829.1654702665.

Adding to 6120106553 its reverse (3556010216), we get a palindrome (9676116769).

The spelling of 6120106553 in words is "six billion, one hundred twenty million, one hundred six thousand, five hundred fifty-three".

Divisors: 1 11 29 121 241 319 2651 3509 6989 7237 29161 76879 79607 209873 845669 875677 1744117 2308603 19185287 25394633 50579393 211038157 556373323 6120106553