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4138360953 = 34154776143
BaseRepresentation
bin1111011010101010…
…0110000001111001
3101200102001111222220
43312222212001321
531433410022303
61522351234253
7204360326166
oct36652460171
911612044886
104138360953
111833aa6921
12975b18989
1350c4a69bc
142b388d06d
151934a6053
hexf6aa6079

4138360953 has 16 divisors (see below), whose sum is σ = 5654347776. Its totient is φ = 2690687360.

The previous prime is 4138360909. The next prime is 4138360957. The reversal of 4138360953 is 3590638314.

4138360953 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a cyclic number.

It is not a de Polignac number, because 4138360953 - 213 = 4138352761 is a prime.

It is not an unprimeable number, because it can be changed into a prime (4138360957) 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 15 ways as a sum of consecutive naturals, for example, 670600 + ... + 676742.

It is an arithmetic number, because the mean of its divisors is an integer number (353396736).

Almost surely, 24138360953 is an apocalyptic number.

It is an amenable number.

4138360953 is a deficient number, since it is larger than the sum of its proper divisors (1515986823).

4138360953 is a wasteful number, since it uses less digits than its factorization.

4138360953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11664.

The product of its (nonzero) digits is 233280, while the sum is 42.

The square root of 4138360953 is about 64330.0936809515. The cubic root of 4138360953 is about 1605.4968429112.

The spelling of 4138360953 in words is "four billion, one hundred thirty-eight million, three hundred sixty thousand, nine hundred fifty-three".

Divisors: 1 3 41 123 5477 6143 16431 18429 224557 251863 673671 755589 33645211 100935633 1379453651 4138360953