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9016819812 = 223271121323243
BaseRepresentation
bin10000110010111000…
…11100000001100100
3212021101201220110100
420121130130001210
5121431301213222
64050421424100
7436305463260
oct103134340144
925241656410
109016819812
11390783a200
1218b786b030
13b090bc050
146177530a0
1537b9004ac
hex21971c064

9016819812 has 648 divisors, whose sum is σ = 32982901952. Its totient is φ = 2019790080.

The previous prime is 9016819807. The next prime is 9016819813. The reversal of 9016819812 is 2189186109.

It is not an unprimeable number, because it can be changed into a prime (9016819813) 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 215 ways as a sum of consecutive naturals, for example, 209693463 + ... + 209693505.

Almost surely, 29016819812 is an apocalyptic number.

9016819812 is a gapful number since it is divisible by the number (92) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 9016819812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16491450976).

9016819812 is an abundant number, since it is smaller than the sum of its proper divisors (23966082140).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

9016819812 is a wasteful number, since it uses less digits than its factorization.

9016819812 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 45.

The square root of 9016819812 is about 94956.9366186589. The cubic root of 9016819812 is about 2081.3788173602.

It can be divided in two parts, 9016 and 819812, that added together give a palindrome (828828).

The spelling of 9016819812 in words is "nine billion, sixteen million, eight hundred nineteen thousand, eight hundred twelve".