Search a number
-
+
19434235392 = 2934111329113
BaseRepresentation
bin10010000110010111…
…101110011000000000
31212011101221110010000
4102012113232120000
5304300131013032
612532235040000
71255412163255
oct220627563000
955141843100
1019434235392
118273134770
1239245a0000
131aa9407a90
14d250d142c
1578b261e7c
hex4865ee600

19434235392 has 800 divisors, whose sum is σ = 71120760480. Its totient is φ = 5202247680.

The previous prime is 19434235297. The next prime is 19434235393. The reversal of 19434235392 is 29353243491.

19434235392 is a `hidden beast` number, since 1 + 94 + 3 + 4 + 23 + 539 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (19434235393) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 171984328 + ... + 171984440.

Almost surely, 219434235392 is an apocalyptic number.

19434235392 is a gapful number since it is divisible by the number (12) 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 19434235392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35560380240).

19434235392 is an abundant number, since it is smaller than the sum of its proper divisors (51686525088).

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

19434235392 is a wasteful number, since it uses less digits than its factorization.

19434235392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 171 counting only the distinct ones).

The product of its digits is 699840, while the sum is 45.

The spelling of 19434235392 in words is "nineteen billion, four hundred thirty-four million, two hundred thirty-five thousand, three hundred ninety-two".