Search a number
-
+
19243212768 = 2535131943233
BaseRepresentation
bin10001111010111111…
…000001111111100000
31211200002111111100000
4101322333001333200
5303402230302033
612501252500000
71250602416063
oct217277017740
954602444300
1019243212768
11818532362a
12389061a600
131a78974a40
14d079a88da
157795cca13
hex47afc1fe0

19243212768 has 576 divisors, whose sum is σ = 66110204160. Its totient is φ = 5455392768.

The previous prime is 19243212767. The next prime is 19243212799. The reversal of 19243212768 is 86721234291.

19243212768 is a `hidden beast` number, since 1 + 92 + 432 + 127 + 6 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19243212763) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 82588780 + ... + 82589012.

It is an arithmetic number, because the mean of its divisors is an integer number (114774660).

Almost surely, 219243212768 is an apocalyptic number.

19243212768 is a gapful number since it is divisible by the number (18) 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 19243212768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33055102080).

19243212768 is an abundant number, since it is smaller than the sum of its proper divisors (46866991392).

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

19243212768 is a wasteful number, since it uses less digits than its factorization.

19243212768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 333 (or 313 counting only the distinct ones).

The product of its digits is 290304, while the sum is 45.

The spelling of 19243212768 in words is "nineteen billion, two hundred forty-three million, two hundred twelve thousand, seven hundred sixty-eight".