Search a number
-
+
194461520000 = 275411220089
BaseRepresentation
bin1011010100011011001…
…1110101000010000000
3200120221100122202020112
42311012303311002000
511141224122120000
6225200121130452
720022636434666
oct2650663650200
9616840582215
10194461520000
117551a505200
1231830929a28
1315450a54787
1495aa6ccc36
1550d2103235
hex2d46cf5080

194461520000 has 240 divisors, whose sum is σ = 532136185350. Its totient is φ = 70709760000.

The previous prime is 194461519949. The next prime is 194461520041. The reversal of 194461520000 is 25164491.

It can be written as a sum of positive squares in 5 ways, for example, as 1866931264 + 192594588736 = 43208^2 + 438856^2 .

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 9669956 + ... + 9690044.

Almost surely, 2194461520000 is an apocalyptic number.

194461520000 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 194461520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266068092675).

194461520000 is an abundant number, since it is smaller than the sum of its proper divisors (337674665350).

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

194461520000 is an equidigital number, since it uses as much as digits as its factorization.

194461520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20145 (or 20107 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 32.

Adding to 194461520000 its reverse (25164491), we get a palindrome (194486684491).

The spelling of 194461520000 in words is "one hundred ninety-four billion, four hundred sixty-one million, five hundred twenty thousand".