Search a number
-
+
45554040000 = 263254718077
BaseRepresentation
bin101010011011001110…
…110111110011000000
311100120201222000001200
4222123032313303000
51221243313240000
632532141101200
73201604644150
oct523316676300
9140521860050
1045554040000
1118357082547
1289b3b57800
1343ac937471
1422c2090760
1512b93cd500
hexa9b3b7cc0

45554040000 has 420 divisors, whose sum is σ = 186482668944. Its totient is φ = 10411776000.

The previous prime is 45554039989. The next prime is 45554040011. The reversal of 45554040000 is 4045554.

It is an interprime number because it is at equal distance from previous prime (45554039989) and next prime (45554040011).

It is a tau number, because it is divible by the number of its divisors (420).

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 59 ways as a sum of consecutive naturals, for example, 2510962 + ... + 2529038.

Almost surely, 245554040000 is an apocalyptic number.

45554040000 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 45554040000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (93241334472).

45554040000 is an abundant number, since it is smaller than the sum of its proper divisors (140928628944).

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

45554040000 is a wasteful number, since it uses less digits than its factorization.

45554040000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18122 (or 18094 counting only the distinct ones).

The product of its (nonzero) digits is 8000, while the sum is 27.

Adding to 45554040000 its reverse (4045554), we get a palindrome (45558085554).

The spelling of 45554040000 in words is "forty-five billion, five hundred fifty-four million, forty thousand".