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900819009 = 3333363667
BaseRepresentation
bin110101101100010…
…110100001000001
32022210001100101000
4311230112201001
53321102202014
6225215402213
731215556326
oct6554264101
92283040330
10900819009
11422541722
12211823369
131148223cc
14878d0b4d
155413e509
hex35b16841

900819009 has 8 divisors (see below), whose sum is σ = 1334546720. Its totient is φ = 600545988.

The previous prime is 900818999. The next prime is 900819019. The reversal of 900819009 is 900918009.

It is an interprime number because it is at equal distance from previous prime (900818999) and next prime (900819019).

It is not a de Polignac number, because 900819009 - 27 = 900818881 is a prime.

It is a super-2 number, since 2×9008190092 = 1622949773951484162, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (900819019) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16681807 + ... + 16681860.

It is an arithmetic number, because the mean of its divisors is an integer number (166818340).

Almost surely, 2900819009 is an apocalyptic number.

It is an amenable number.

900819009 is a deficient number, since it is larger than the sum of its proper divisors (433727711).

900819009 is a wasteful number, since it uses less digits than its factorization.

900819009 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33363676 (or 33363670 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 36.

The square root of 900819009 is about 30013.6470459689. The cubic root of 900819009 is about 965.7821641444.

The spelling of 900819009 in words is "nine hundred million, eight hundred nineteen thousand, nine".

Divisors: 1 3 9 27 33363667 100091001 300273003 900819009