Search a number
-
+
9494690400000 = 283555132172
BaseRepresentation
bin1000101000101010011110…
…1001100000011100000000
31020121200110022001220200000
42022022213221200130000
52221030111220300000
632105444530400000
71666653164535351
oct212124751403400
936550408056600
109494690400000
113030748228553
121094174730000
1353b464c9c600
1424b78ca95d28
15116ea3100000
hex8a2a7a60700

9494690400000 has 2916 divisors, whose sum is σ = 40817273167944. Its totient is φ = 2199674880000.

The previous prime is 9494690399981. The next prime is 9494690400079. The reversal of 9494690400000 is 40964949.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 323 ways as a sum of consecutive naturals, for example, 558511199992 + ... + 558511200008.

Almost surely, 29494690400000 is an apocalyptic number.

9494690400000 is a gapful number since it is divisible by the number (90) 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 9494690400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20408636583972).

9494690400000 is an abundant number, since it is smaller than the sum of its proper divisors (31322582767944).

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

9494690400000 is an frugal number, since it uses more digits than its factorization.

9494690400000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 9494690400000 in words is "nine trillion, four hundred ninety-four billion, six hundred ninety million, four hundred thousand".