Search a number
-
+
45554205543000 = 23353711391150423
BaseRepresentation
bin10100101101110011010100…
…01111010100101001011000
312222021221100220112202000220
422112321222033110221120
521432330003104334000
6240515151345000040
712411116452146360
oct1226715217245130
9188257326482026
1045554205543000
1113573480484850
125138863323020
131c5598791619b
14b36b9a1519a0
1553ee81c3d1a0
hex296e6a3d4a58

45554205543000 has 512 divisors, whose sum is σ = 177248766689280. Its totient is φ = 9463200960000.

The previous prime is 45554205542977. The next prime is 45554205543019. The reversal of 45554205543000 is 34550245554.

45554205543000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 903415789 + ... + 903466211.

It is an arithmetic number, because the mean of its divisors is an integer number (346188997440).

Almost surely, 245554205543000 is an apocalyptic number.

45554205543000 is a gapful number since it is divisible by the number (40) 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 45554205543000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88624383344640).

45554205543000 is an abundant number, since it is smaller than the sum of its proper divisors (131694561146280).

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

45554205543000 is a wasteful number, since it uses less digits than its factorization.

45554205543000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54376 (or 54362 counting only the distinct ones).

The product of its (nonzero) digits is 1200000, while the sum is 42.

Adding to 45554205543000 its reverse (34550245554), we get a palindrome (45588755788554).

The spelling of 45554205543000 in words is "forty-five trillion, five hundred fifty-four billion, two hundred five million, five hundred forty-three thousand".