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4761314761 = 72212945641
BaseRepresentation
bin1000110111100101…
…11110010111001001
3110021211020211222011
410123302332113021
534222344033021
62104243255521
7225663336100
oct43362762711
913254224864
104761314761
112023702285
12b0a67a5a1
135ab57b318
143324cd037
151cd009de1
hex11bcbe5c9

4761314761 has 12 divisors (see below), whose sum is σ = 5541395220. Its totient is φ = 4079120640.

The previous prime is 4761314759. The next prime is 4761314807. The reversal of 4761314761 is 1674131674.

It can be written as a sum of positive squares in 2 ways, for example, as 1697028025 + 3064286736 = 41195^2 + 55356^2 .

It is not a de Polignac number, because 4761314761 - 21 = 4761314759 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4761314711) 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 11 ways as a sum of consecutive naturals, for example, 81501 + ... + 127141.

It is an arithmetic number, because the mean of its divisors is an integer number (461782935).

Almost surely, 24761314761 is an apocalyptic number.

It is an amenable number.

4761314761 is a deficient number, since it is larger than the sum of its proper divisors (780080459).

4761314761 is a wasteful number, since it uses less digits than its factorization.

4761314761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47784 (or 47777 counting only the distinct ones).

The product of its digits is 84672, while the sum is 40.

The square root of 4761314761 is about 69002.2808391143. The cubic root of 4761314761 is about 1682.3213800208.

The spelling of 4761314761 in words is "four billion, seven hundred sixty-one million, three hundred fourteen thousand, seven hundred sixty-one".

Divisors: 1 7 49 2129 14903 45641 104321 319487 2236409 97169689 680187823 4761314761