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8428758761 = 77326934049
BaseRepresentation
bin1111101100110010…
…01010011011101001
3210202102012022100102
413312121022123221
5114230230240021
63512213315145
7415605160463
oct76631123351
923672168312
108428758761
1136358a6235
121772935ab5
13a44313727
1459d5d7133
15344e9000b
hex1f664a6e9

8428758761 has 8 divisors (see below), whose sum is σ = 8444881800. Its totient is φ = 8412650752.

The previous prime is 8428758719. The next prime is 8428758787. The reversal of 8428758761 is 1678578248.

It can be written as a sum of positive squares in 4 ways, for example, as 22619536 + 8406139225 = 4756^2 + 91685^2 .

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 8428758761 - 26 = 8428758697 is a prime.

It is a super-2 number, since 2×84287587612 (a number of 21 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 8428758697 and 8428758706.

It is not an unprimeable number, because it can be changed into a prime (8428758161) 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, 2079665 + ... + 2083713.

It is an arithmetic number, because the mean of its divisors is an integer number (1055610225).

Almost surely, 28428758761 is an apocalyptic number.

It is an amenable number.

8428758761 is a deficient number, since it is larger than the sum of its proper divisors (16123039).

8428758761 is a wasteful number, since it uses less digits than its factorization.

8428758761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7515.

The product of its digits is 6021120, while the sum is 56.

The square root of 8428758761 is about 91808.2717460687. The cubic root of 8428758761 is about 2035.1099362478.

The spelling of 8428758761 in words is "eight billion, four hundred twenty-eight million, seven hundred fifty-eight thousand, seven hundred sixty-one".

Divisors: 1 773 2693 4049 2081689 3129877 10903957 8428758761