Search a number
-
+
19834368400 = 2452711258543
BaseRepresentation
bin10010011110001110…
…000111000110010000
31220012021212022102001
4102132032013012100
5311110044242100
613040051203344
71301341230640
oct223616070620
956167768361
1019834368400
118458a90600
123a165a6554
131b41294a82
14d622cc520
157b144ed6a
hex49e387190

19834368400 has 180 divisors, whose sum is σ = 59861474176. Its totient is φ = 6182035200.

The previous prime is 19834368397. The next prime is 19834368419. The reversal of 19834368400 is 486343891.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 309529 + ... + 368071.

Almost surely, 219834368400 is an apocalyptic number.

19834368400 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 19834368400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29930737088).

19834368400 is an abundant number, since it is smaller than the sum of its proper divisors (40027105776).

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

19834368400 is a wasteful number, since it uses less digits than its factorization.

19834368400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58590 (or 58568 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 46.

The spelling of 19834368400 in words is "nineteen billion, eight hundred thirty-four million, three hundred sixty-eight thousand, four hundred".