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8420219409 = 3710110338543
BaseRepresentation
bin1111101011110001…
…00101101000010001
3210201211010110120010
413311320211220101
5114221034010114
63511310305133
7415442453430
oct76570455021
923654113503
108420219409
113630aa3518
12176bab81a9
13a42613964
1459c413117
15344354c59
hex1f5e25a11

8420219409 has 32 divisors (see below), whose sum is σ = 13083992064. Its totient is φ = 4717540800.

The previous prime is 8420219399. The next prime is 8420219413. The reversal of 8420219409 is 9049120248.

It is not a de Polignac number, because 8420219409 - 25 = 8420219377 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is not an unprimeable number, because it can be changed into a prime (8420219449) 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 31 ways as a sum of consecutive naturals, for example, 199192 + ... + 237734.

It is an arithmetic number, because the mean of its divisors is an integer number (408874752).

Almost surely, 28420219409 is an apocalyptic number.

It is an amenable number.

8420219409 is a deficient number, since it is larger than the sum of its proper divisors (4663772655).

8420219409 is a wasteful number, since it uses less digits than its factorization.

8420219409 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38757.

The product of its (nonzero) digits is 41472, while the sum is 39.

The square root of 8420219409 is about 91761.7535196446. The cubic root of 8420219409 is about 2034.4224331903.

The spelling of 8420219409 in words is "eight billion, four hundred twenty million, two hundred nineteen thousand, four hundred nine".

Divisors: 1 3 7 21 101 103 303 309 707 721 2121 2163 10403 31209 38543 72821 115629 218463 269801 809403 3892843 3969929 11678529 11909787 27249901 27789503 81749703 83368509 400962829 1202888487 2806739803 8420219409