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19027779840 = 283253744641
BaseRepresentation
bin10001101110001001…
…001110000100000000
31211010002010100220200
4101232021032010000
5302432102423330
612424035205200
71242345313536
oct215611160400
954102110820
1019027779840
11808475a693
123830446800
131a43146034
14cc712a156
15765725a60
hex46e24e100

19027779840 has 216 divisors, whose sum is σ = 67614951768. Its totient is φ = 4936826880.

The previous prime is 19027779833. The next prime is 19027779853. The reversal of 19027779840 is 4897772091.

It can be written as a sum of positive squares in 4 ways, for example, as 7498174464 + 11529605376 = 86592^2 + 107376^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403920 + ... + 448560.

Almost surely, 219027779840 is an apocalyptic number.

19027779840 is a gapful number since it is divisible by the number (10) 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 19027779840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33807475884).

19027779840 is an abundant number, since it is smaller than the sum of its proper divisors (48587171928).

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

19027779840 is a wasteful number, since it uses less digits than its factorization.

19027779840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44705 (or 44688 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 54.

The spelling of 19027779840 in words is "nineteen billion, twenty-seven million, seven hundred seventy-nine thousand, eight hundred forty".