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19829000385 = 325440644453
BaseRepresentation
bin10010011101111001…
…101000100011000001
31220011220202120212200
4102131321220203001
5311102211003020
613035340143413
71301244502515
oct223571504301
956156676780
1019829000385
118455a54527
123a14837b69
131b4013562c
14d616d2145
157b0c3e590
hex49de688c1

19829000385 has 12 divisors (see below), whose sum is σ = 34370267412. Its totient is φ = 10575466848.

The previous prime is 19829000383. The next prime is 19829000453. The reversal of 19829000385 is 58300092891.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 7732740096 + 12096260289 = 87936^2 + 109983^2 .

It is not a de Polignac number, because 19829000385 - 21 = 19829000383 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45), and also a Moran number because the ratio is a prime number: 440644453 = 19829000385 / (1 + 9 + 8 + 2 + 9 + 0 + 0 + 0 + 3 + 8 + 5).

It is a self number, because there is not a number n which added to its sum of digits gives 19829000385.

It is not an unprimeable number, because it can be changed into a prime (19829000383) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 220322182 + ... + 220322271.

It is an arithmetic number, because the mean of its divisors is an integer number (2864188951).

Almost surely, 219829000385 is an apocalyptic number.

19829000385 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

19829000385 is a deficient number, since it is larger than the sum of its proper divisors (14541267027).

19829000385 is a wasteful number, since it uses less digits than its factorization.

19829000385 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 440644464 (or 440644461 counting only the distinct ones).

The product of its (nonzero) digits is 155520, while the sum is 45.

The spelling of 19829000385 in words is "nineteen billion, eight hundred twenty-nine million, three hundred eighty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 45 440644453 1321933359 2203222265 3965800077 6609666795 19829000385