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8117469409 = 726122112
BaseRepresentation
bin1111000111101011…
…01100000011100001
3202221201110011122011
413203311230003201
5113111033010114
63421253312521
7405105231400
oct74365540341
922851404564
108117469409
113496110a05
1216a6635741
139c499224a
14570125637
153279a11c4
hex1e3d6c0e1

8117469409 has 27 divisors (see below), whose sum is σ = 9645821523. Its totient is φ = 6811333200.

The previous prime is 8117469397. The next prime is 8117469421. The reversal of 8117469409 is 9049647118.

The square root of 8117469409 is 90097.

It is a perfect power (a square), and thus also a powerful number.

It is an interprime number because it is at equal distance from previous prime (8117469397) and next prime (8117469421).

It can be written as a sum of positive squares in only one way, i.e., 263965009 + 7853504400 = 16247^2 + 88620^2 .

It is not a de Polignac number, because 8117469409 - 221 = 8115372257 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8117469209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 38471314 + ... + 38471524.

It is an arithmetic number, because the mean of its divisors is an integer number (357252649).

Almost surely, 28117469409 is an apocalyptic number.

8117469409 is the 90097-th square number.

8117469409 is the 45049-th centered octagonal number.

It is an amenable number.

8117469409 is a deficient number, since it is larger than the sum of its proper divisors (1528352114).

8117469409 is an frugal number, since it uses more digits than its factorization.

8117469409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 49.

The cubic root of 8117469409 is about 2009.7415910797.

Multiplying 8117469409 by its sum of digits (49), we get a square (397756001041 = 6306792).

8117469409 divided by its sum of digits (49) gives a square (165662641 = 128712).

The spelling of 8117469409 in words is "eight billion, one hundred seventeen million, four hundred sixty-nine thousand, four hundred nine".

Divisors: 1 7 49 61 211 427 1477 2989 3721 10339 12871 26047 44521 90097 182329 311647 630679 785131 2181529 2715781 5495917 19010467 38471419 133073269 165662641 1159638487 8117469409