Search a number
-
+
19234152000 = 263353712721
BaseRepresentation
bin10001111010011100…
…011101111001000000
31211122110110011022000
4101322130131321000
5303342420331000
612500330344000
71250432410620
oct217234357100
954573404260
1019234152000
1181801a5098
12388958b000
131a76b2183b
14d066ca880
157788dd000
hex47a71de40

19234152000 has 448 divisors, whose sum is σ = 80655444480. Its totient is φ = 4396032000.

The previous prime is 19234151983. The next prime is 19234152011. The reversal of 19234152000 is 25143291.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a zygodrome in base 15.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1505640 + ... + 1518360.

Almost surely, 219234152000 is an apocalyptic number.

19234152000 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 19234152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40327722240).

19234152000 is an abundant number, since it is smaller than the sum of its proper divisors (61421292480).

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

19234152000 is a wasteful number, since it uses less digits than its factorization.

19234152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12764 (or 12738 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

Adding to 19234152000 its reverse (25143291), we get a palindrome (19259295291).

The spelling of 19234152000 in words is "nineteen billion, two hundred thirty-four million, one hundred fifty-two thousand".