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1819820016 = 243272349739
BaseRepresentation
bin110110001111000…
…0011111111110000
311200211022102202100
41230132003333300
512211333220031
6500325020400
763045133500
oct15436037760
94624272670
101819820016
11854271793
12429554700
1323003c5a1
14133995a00
15a9b70de6
hex6c783ff0

1819820016 has 180 divisors, whose sum is σ = 5949489000. Its totient is φ = 517757184.

The previous prime is 1819820003. The next prime is 1819820017. The reversal of 1819820016 is 6100289181.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1819820017) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 2462175 + ... + 2462913.

Almost surely, 21819820016 is an apocalyptic number.

1819820016 is a gapful number since it is divisible by the number (16) 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 1819820016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2974744500).

1819820016 is an abundant number, since it is smaller than the sum of its proper divisors (4129668984).

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

1819820016 is a wasteful number, since it uses less digits than its factorization.

1819820016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1116 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 36.

The square root of 1819820016 is about 42659.3485182322. The cubic root of 1819820016 is about 1220.8889015863. Note that the first 3 decimals are identical.

The spelling of 1819820016 in words is "one billion, eight hundred nineteen million, eight hundred twenty thousand, sixteen".