Search a number
-
+
19893905856 = 2634114167127
BaseRepresentation
bin10010100001110001…
…001110100111000000
31220100102220010110000
4102201301032213000
5311220314441411
613050015240000
71302663260346
oct224161164700
956312803400
1019893905856
118489655a10
123a32519000
131b5070c336
14d6a189996
157b67b0956
hex4a1c4e9c0

19893905856 has 560 divisors, whose sum is σ = 67412201472. Its totient is φ = 5748019200.

The previous prime is 19893905849. The next prime is 19893905951. The reversal of 19893905856 is 65850939891.

19893905856 is a `hidden beast` number, since 19 + 8 + 9 + 39 + 0 + 585 + 6 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 19893905793 and 19893905802.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 156644865 + ... + 156644991.

Almost surely, 219893905856 is an apocalyptic number.

19893905856 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 19893905856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33706100736).

19893905856 is an abundant number, since it is smaller than the sum of its proper divisors (47518295616).

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

19893905856 is a wasteful number, since it uses less digits than its factorization.

19893905856 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 270 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 20995200, while the sum is 63.

The spelling of 19893905856 in words is "nineteen billion, eight hundred ninety-three million, nine hundred five thousand, eight hundred fifty-six".