Search a number
-
+
6038001125 = 53136160913
BaseRepresentation
bin1011001111110010…
…01001010111100101
3120120210120020102022
411213321021113211
544331212014000
62435051152525
7302425106552
oct54771112745
916523506368
106038001125
112619326682
121206145745
13752c12840
14413ca1a29
15255142585
hex167e495e5

6038001125 has 32 divisors (see below), whose sum is σ = 8248242912. Its totient is φ = 4385664000.

The previous prime is 6038001121. The next prime is 6038001139. The reversal of 6038001125 is 5211008306.

It can be written as a sum of positive squares in 16 ways, for example, as 5499853921 + 538147204 = 74161^2 + 23198^2 .

It is not a de Polignac number, because 6038001125 - 22 = 6038001121 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6038001094 and 6038001103.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6038001121) 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 31 ways as a sum of consecutive naturals, for example, 68669 + ... + 129581.

It is an arithmetic number, because the mean of its divisors is an integer number (257757591).

Almost surely, 26038001125 is an apocalyptic number.

6038001125 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6038001125 is a deficient number, since it is larger than the sum of its proper divisors (2210241787).

6038001125 is a wasteful number, since it uses less digits than its factorization.

6038001125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61002 (or 60992 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 26.

The square root of 6038001125 is about 77704.5759592059. The cubic root of 6038001125 is about 1820.9487792489.

The spelling of 6038001125 in words is "six billion, thirty-eight million, one thousand, one hundred twenty-five".

Divisors: 1 5 13 25 61 65 125 305 325 793 1525 1625 3965 7625 19825 60913 99125 304565 791869 1522825 3715693 3959345 7614125 18578465 19796725 48304009 92892325 98983625 241520045 464461625 1207600225 6038001125