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45331060320 = 25345721317219
BaseRepresentation
bin101010001101111100…
…010001011001100000
311100000012101110110000
4222031330101121200
51220314222412240
632454053540000
73163226440500
oct521574213140
9140005343400
1045331060320
1118252224617
128951344600
134375695720
1422a0609a00
1512a4a35430
hexa8df11660

45331060320 has 2160 divisors, whose sum is σ = 224103393360. Its totient is φ = 8527970304.

The previous prime is 45331060289. The next prime is 45331060321. The reversal of 45331060320 is 2306013354.

It is a happy number.

45331060320 is a `hidden beast` number, since 4 + 5 + 3 + 31 + 0 + 603 + 20 = 666.

It is a tau number, because it is divible by the number of its divisors (2160).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (45331060321) by changing a digit.

It is a polite number, since it can be written in 359 ways as a sum of consecutive naturals, for example, 2385845271 + ... + 2385845289.

It is an arithmetic number, because the mean of its divisors is an integer number (103751571).

Almost surely, 245331060320 is an apocalyptic number.

45331060320 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 45331060320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112051696680).

45331060320 is an abundant number, since it is smaller than the sum of its proper divisors (178772333040).

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

45331060320 is a wasteful number, since it uses less digits than its factorization.

45331060320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 107 (or 66 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 45331060320 its reverse (2306013354), we get a palindrome (47637073674).

The spelling of 45331060320 in words is "forty-five billion, three hundred thirty-one million, sixty thousand, three hundred twenty".