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45391320000 = 263354135361
BaseRepresentation
bin101010010001100010…
…001001001111000000
311100011101202222012000
4222101202021033000
51220430134220000
632504045304000
73164560565625
oct522142111700
9140141688160
1045391320000
1118283242604
128969565000
134385003940
1422a861434c
1512a9e8a000
hexa918893c0

45391320000 has 1120 divisors, whose sum is σ = 185963722560. Its totient is φ = 10782720000.

The previous prime is 45391319993. The next prime is 45391320043. The reversal of 45391320000 is 2319354.

45391320000 is a `hidden beast` number, since 453 + 9 + 1 + 3 + 200 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 744119970 + ... + 744120030.

It is an arithmetic number, because the mean of its divisors is an integer number (166039038).

Almost surely, 245391320000 is an apocalyptic number.

45391320000 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 45391320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92981861280).

45391320000 is an abundant number, since it is smaller than the sum of its proper divisors (140572402560).

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

45391320000 is a wasteful number, since it uses less digits than its factorization.

45391320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 168 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

Adding to 45391320000 its reverse (2319354), we get a palindrome (45393639354).

The spelling of 45391320000 in words is "forty-five billion, three hundred ninety-one million, three hundred twenty thousand".