Search a number
-
+
194558254560 = 2534515239857
BaseRepresentation
bin1011010100110010010…
…0110101110111100000
3200121012002200101010000
42311030210311313200
511141423403121220
6225213454340000
720025222606645
oct2651444656740
9617162611100
10194558254560
117556a07631a
12318591ba600
1315467ac3b67
1495b94addcc
1550da860390
hex2d4c935de0

194558254560 has 240 divisors, whose sum is σ = 687149050896. Its totient is φ = 51842875392.

The previous prime is 194558254543. The next prime is 194558254577. The reversal of 194558254560 is 65452855491.

194558254560 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 58 + 25 + 4 + 560 = 666.

194558254560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (194558254543) and next prime (194558254577).

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 194558254497 and 194558254506.

It is a congruent number.

It is an unprimeable number.

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 39 ways as a sum of consecutive naturals, for example, 19733152 + ... + 19743008.

Almost surely, 2194558254560 is an apocalyptic number.

194558254560 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 194558254560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (343574525448).

194558254560 is an abundant number, since it is smaller than the sum of its proper divisors (492590796336).

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

194558254560 is a wasteful number, since it uses less digits than its factorization.

194558254560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11407 (or 11390 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 54.

The spelling of 194558254560 in words is "one hundred ninety-four billion, five hundred fifty-eight million, two hundred fifty-four thousand, five hundred sixty".