Search a number
-
+
19885716000 = 2533531710831
BaseRepresentation
bin10010100001010001…
…111111001000100000
31220022212111001002000
4102201101333020200
5311211220403000
613045123524000
71302533540253
oct224121771040
956285431060
1019885716000
118484a71837
123a2b829600
131b4bb02677
14d6905709a
157b5be4000
hex4a147f220

19885716000 has 384 divisors, whose sum is σ = 76648965120. Its totient is φ = 4990464000.

The previous prime is 19885715959. The next prime is 19885716031. The reversal of 19885716000 is 61758891.

19885716000 is a `hidden beast` number, since 19 + 8 + 8 + 571 + 60 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1830585 + ... + 1841415.

It is an arithmetic number, because the mean of its divisors is an integer number (199606680).

Almost surely, 219885716000 is an apocalyptic number.

19885716000 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 19885716000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38324482560).

19885716000 is an abundant number, since it is smaller than the sum of its proper divisors (56763249120).

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

19885716000 is a wasteful number, since it uses less digits than its factorization.

19885716000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10882 (or 10858 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 45.

The spelling of 19885716000 in words is "nineteen billion, eight hundred eighty-five million, seven hundred sixteen thousand".