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4248821161 = 135322732713
BaseRepresentation
bin1111110100111111…
…1101110110101001
3101222002220110220201
43331033331312221
532200144234121
61541334552201
7210201245464
oct37517756651
911862813821
104248821161
111890392252
129a6b08661
13529340680
142c44042db
1519d024e91
hexfd3fdda9

4248821161 has 16 divisors (see below), whose sum is σ = 4665756816. Its totient is φ = 3844878336.

The previous prime is 4248821153. The next prime is 4248821209. The reversal of 4248821161 is 1611288424.

It can be written as a sum of positive squares in 8 ways, for example, as 900000000 + 3348821161 = 30000^2 + 57869^2 .

It is not a de Polignac number, because 4248821161 - 23 = 4248821153 is a prime.

It is a super-2 number, since 2×42488211612 = 36104962516322775842, which contains 22 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 4248821161.

It is not an unprimeable number, because it can be changed into a prime (4248821461) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1564741 + ... + 1567453.

It is an arithmetic number, because the mean of its divisors is an integer number (291609801).

Almost surely, 24248821161 is an apocalyptic number.

It is an amenable number.

4248821161 is a deficient number, since it is larger than the sum of its proper divisors (416935655).

4248821161 is a wasteful number, since it uses less digits than its factorization.

4248821161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5052.

The product of its digits is 24576, while the sum is 37.

The square root of 4248821161 is about 65182.9821425807. The cubic root of 4248821161 is about 1619.6561228393.

The spelling of 4248821161 in words is "four billion, two hundred forty-eight million, eight hundred twenty-one thousand, one hundred sixty-one".

Divisors: 1 13 53 689 2273 2713 29549 35269 120469 143789 1566097 1869257 6166649 80166437 326832397 4248821161