Search a number
-
+
1942378546080 = 253571514199137
BaseRepresentation
bin11100010000111110110…
…010001000001110100000
320212200121200220201001010
4130100332302020032200
5223310442401433310
64044152201140520
7260221644141030
oct34207662101640
96780550821033
101942378546080
11689838062695
1227454278a740
1311121c8209cb
146a023c738c0
15357d44b4320
hex1c43ec883a0

1942378546080 has 384 divisors, whose sum is σ = 7056442552320. Its totient is φ = 439931289600.

The previous prime is 1942378546079. The next prime is 1942378546117. The reversal of 1942378546080 is 806458732491.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 1942378546080.

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, 212579272 + ... + 212588408.

It is an arithmetic number, because the mean of its divisors is an integer number (18376152480).

It is a 2-persistent number, because it is pandigital, and so is 2⋅1942378546080 = 3884757092160, but 3⋅1942378546080 = 5827135638240 is not.

Almost surely, 21942378546080 is an apocalyptic number.

1942378546080 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 1942378546080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528221276160).

1942378546080 is an abundant number, since it is smaller than the sum of its proper divisors (5114064006240).

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

1942378546080 is a wasteful number, since it uses less digits than its factorization.

1942378546080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9732 (or 9724 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 57.

The spelling of 1942378546080 in words is "one trillion, nine hundred forty-two billion, three hundred seventy-eight million, five hundred forty-six thousand, eighty".