Search a number
-
+
994705920000 = 21236541341
BaseRepresentation
bin11100111100110010001…
…01111101000000000000
310112002111202200022000000
432132121011331000000
5112244124203420000
62040543412000000
7131602511546322
oct16363105750000
93462452608000
10994705920000
11353941618271
12140945000000
1372a53532920
14362032b3612
151ad1bac0000
hexe79917d000

994705920000 has 1820 divisors, whose sum is σ = 4111359446964. Its totient is φ = 238878720000.

The previous prime is 994705919993. The next prime is 994705920011. The reversal of 994705920000 is 29507499.

994705920000 is a `hidden beast` number, since 99 + 470 + 5 + 92 + 0 + 0 + 0 + 0 = 666.

It can be written as a sum of positive squares in 10 ways, for example, as 994120667136 + 585252864 = 997056^2 + 24192^2 .

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

It is a polite number, since it can be written in 139 ways as a sum of consecutive naturals, for example, 24261119980 + ... + 24261120020.

Almost surely, 2994705920000 is an apocalyptic number.

994705920000 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 994705920000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2055679723482).

994705920000 is an abundant number, since it is smaller than the sum of its proper divisors (3116653526964).

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

994705920000 is an frugal number, since it uses more digits than its factorization.

994705920000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 204120, while the sum is 45.

The spelling of 994705920000 in words is "nine hundred ninety-four billion, seven hundred five million, nine hundred twenty thousand".