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45332604480 = 2635314153701
BaseRepresentation
bin101010001110000010…
…001010011001000000
311100000022021220122010
4222032002022121000
51220320121320410
632454151012520
73163245531432
oct521602123100
9140008256563
1045332604480
1118253089789
12895196a140
134375ab6527
1422a08cc652
1512a4c3cc20
hexa8e08a640

45332604480 has 448 divisors, whose sum is σ = 155290576896. Its totient is φ = 11182080000.

The previous prime is 45332604437. The next prime is 45332604491. The reversal of 45332604480 is 8440623354.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 64668130 + ... + 64668830.

It is an arithmetic number, because the mean of its divisors is an integer number (346630752).

Almost surely, 245332604480 is an apocalyptic number.

45332604480 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 45332604480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77645288448).

45332604480 is an abundant number, since it is smaller than the sum of its proper divisors (109957972416).

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

45332604480 is a wasteful number, since it uses less digits than its factorization.

45332604480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 846 (or 836 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 39.

The spelling of 45332604480 in words is "forty-five billion, three hundred thirty-two million, six hundred four thousand, four hundred eighty".