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834464206753 = 17371326652157
BaseRepresentation
bin11000010010010011111…
…00010100111110100001
32221202220020121211202121
430021021330110332201
5102132440314104003
61435203023544241
7114200541503632
oct14111174247641
92852806554677
10834464206753
112a19923213a1
1211588445b081
13608c7195418
142c56163d889
1516a8dcd8cbd
hexc249f14fa1

834464206753 has 8 divisors (see below), whose sum is σ = 907430076072. Its totient is φ = 764151641856.

The previous prime is 834464206721. The next prime is 834464206799. The reversal of 834464206753 is 357602464438.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 144587781009 + 689876425744 = 380247^2 + 830588^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 834464206753 - 25 = 834464206721 is a prime.

It is a super-5 number, since 5×8344642067535 (a number of 61 digits) contains 55555 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 834464206753.

It is not an unprimeable number, because it can be changed into a prime (834464206703) 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 7 ways as a sum of consecutive naturals, for example, 663325450 + ... + 663326707.

It is an arithmetic number, because the mean of its divisors is an integer number (113428759509).

Almost surely, 2834464206753 is an apocalyptic number.

It is an amenable number.

834464206753 is a deficient number, since it is larger than the sum of its proper divisors (72965869319).

834464206753 is a wasteful number, since it uses less digits than its factorization.

834464206753 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326652211.

The product of its (nonzero) digits is 11612160, while the sum is 52.

The spelling of 834464206753 in words is "eight hundred thirty-four billion, four hundred sixty-four million, two hundred six thousand, seven hundred fifty-three".

Divisors: 1 17 37 629 1326652157 22553086669 49086129809 834464206753