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4875136959 = 3721129103963
BaseRepresentation
bin1001000101001010…
…01010111110111111
3110120202102121200010
410202211022332333
534441013340314
62123431034303
7231544660200
oct44245127677
913522377603
104875136959
112081984610
12b4080b993
135c9021334
1434367b5a7
151d7ee0059
hex12294afbf

4875136959 has 48 divisors (see below), whose sum is σ = 8533365120. Its totient is φ = 2445186240.

The previous prime is 4875136949. The next prime is 4875136963. The reversal of 4875136959 is 9596315784.

It is not a de Polignac number, because 4875136959 - 25 = 4875136927 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4875136899 and 4875136908.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4875136949) 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 47 ways as a sum of consecutive naturals, for example, 5089 + ... + 98874.

It is an arithmetic number, because the mean of its divisors is an integer number (177778440).

Almost surely, 24875136959 is an apocalyptic number.

4875136959 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

4875136959 is a deficient number, since it is larger than the sum of its proper divisors (3658228161).

4875136959 is a wasteful number, since it uses less digits than its factorization.

4875136959 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 104020 (or 104013 counting only the distinct ones).

The product of its digits is 8164800, while the sum is 57.

The square root of 4875136959 is about 69822.1809957266. The cubic root of 4875136959 is about 1695.6216002277.

The spelling of 4875136959 in words is "four billion, eight hundred seventy-five million, one hundred thirty-six thousand, nine hundred fifty-nine".

Divisors: 1 3 7 11 21 29 33 49 77 87 147 203 231 319 539 609 957 1421 1617 2233 4263 6699 15631 46893 103963 311889 727741 1143593 2183223 3014927 3430779 5094187 8005151 9044781 15282561 21104489 24015453 33164197 56036057 63313467 99492591 147731423 168108171 232149379 443194269 696448137 1625045653 4875136959