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6742205145 = 325132886549
BaseRepresentation
bin1100100011101110…
…11110001011011001
3122101212122111201200
412101313132023121
5102302001031040
63033004504413
7326035540524
oct62167361331
918355574650
106742205145
11294a887575
121381b4b109
13835a94600
1447d611bbb
15296d95630
hex191dde2d9

6742205145 has 36 divisors (see below), whose sum is σ = 12654614700. Its totient is φ = 3319235712.

The previous prime is 6742205123. The next prime is 6742205149. The reversal of 6742205145 is 5415022476.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 1526621184 + 5215583961 = 39072^2 + 72219^2 .

It is not a de Polignac number, because 6742205145 - 228 = 6473769689 is a prime.

It is not an unprimeable number, because it can be changed into a prime (6742205149) 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 35 ways as a sum of consecutive naturals, for example, 435670 + ... + 450879.

It is an arithmetic number, because the mean of its divisors is an integer number (351517075).

Almost surely, 26742205145 is an apocalyptic number.

6742205145 is a gapful number since it is divisible by the number (65) formed by its first and last digit.

It is an amenable number.

6742205145 is a deficient number, since it is larger than the sum of its proper divisors (5912409555).

6742205145 is a wasteful number, since it uses less digits than its factorization.

6742205145 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 886586 (or 886570 counting only the distinct ones).

The product of its (nonzero) digits is 67200, while the sum is 36.

The square root of 6742205145 is about 82110.9319457525. The cubic root of 6742205145 is about 1889.1538204206.

The spelling of 6742205145 in words is "six billion, seven hundred forty-two million, two hundred five thousand, one hundred forty-five".

Divisors: 1 3 5 9 13 15 39 45 65 117 169 195 507 585 845 1521 2535 7605 886549 2659647 4432745 7978941 11525137 13298235 34575411 39894705 57625685 103726233 149826781 172877055 449480343 518631165 749133905 1348441029 2247401715 6742205145