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4113645642 = 233478915907
BaseRepresentation
bin1111010100110001…
…0100000001001010
3101121200112211222000
43311030110001022
531411043130032
61520105411430
7203640260661
oct36514240112
911550484860
104113645642
111821055947
12969799b76
13507332262
142b0497dd8
15191222e7c
hexf531404a

4113645642 has 32 divisors (see below), whose sum is σ = 9143918400. Its totient is φ = 1370842704.

The previous prime is 4113645623. The next prime is 4113645643. The reversal of 4113645642 is 2465463114.

4113645642 is a `hidden beast` number, since 4 + 1 + 1 + 3 + 6 + 4 + 5 + 642 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 4113645597 and 4113645606.

It is not an unprimeable number, because it can be changed into a prime (4113645643) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 250653 + ... + 266559.

It is an arithmetic number, because the mean of its divisors is an integer number (285747450).

Almost surely, 24113645642 is an apocalyptic number.

4113645642 is an abundant number, since it is smaller than the sum of its proper divisors (5030272758).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4113645642 is a wasteful number, since it uses less digits than its factorization.

4113645642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20707 (or 20701 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 4113645642 is about 64137.7084249196. The cubic root of 4113645642 is about 1602.2943181281.

The spelling of 4113645642 in words is "four billion, one hundred thirteen million, six hundred forty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 4789 9578 14367 15907 28734 31814 43101 47721 86202 95442 129303 143163 258606 286326 429489 858978 76178623 152357246 228535869 457071738 685607607 1371215214 2056822821 4113645642