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192493104000 = 2735319211067
BaseRepresentation
bin1011001101000101111…
…0111010101110000000
3200101212011201212010020
42303101132322232000
511123211213312000
6224232523133440
716623105246561
oct2632136725600
9611764655106
10192493104000
11746aa38011a
1231381674280
13151c8cb8392
1494610d6168
1550193cdba0
hex2cd17bab80

192493104000 has 256 divisors, whose sum is σ = 671702803200. Its totient is φ = 48629606400.

The previous prime is 192493103927. The next prime is 192493104007. The reversal of 192493104000 is 401394291.

192493104000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (192493104007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 806467 + ... + 1017533.

It is an arithmetic number, because the mean of its divisors is an integer number (2623839075).

Almost surely, 2192493104000 is an apocalyptic number.

192493104000 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 192493104000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335851401600).

192493104000 is an abundant number, since it is smaller than the sum of its proper divisors (479209699200).

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

192493104000 is a wasteful number, since it uses less digits than its factorization.

192493104000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211118 (or 211096 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

Adding to 192493104000 its reverse (401394291), we get a palindrome (192894498291).

The spelling of 192493104000 in words is "one hundred ninety-two billion, four hundred ninety-three million, one hundred four thousand".