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45882791240 = 235111317312491
BaseRepresentation
bin101010101110110100…
…111101010101001000
311101102122120021222112
4222232310331111020
51222431443304430
633024523241452
73213006201446
oct525664752510
9141378507875
1045882791240
1118505704190
128a86079288
134432a90a20
1423139c9b96
1512d81bb195
hexaaed3d548

45882791240 has 384 divisors, whose sum is σ = 132965400960. Its totient is φ = 13999104000.

The previous prime is 45882791233. The next prime is 45882791249. The reversal of 45882791240 is 4219728854.

It is not an unprimeable number, because it can be changed into a prime (45882791249) by changing a digit.

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 95 ways as a sum of consecutive naturals, for example, 93447395 + ... + 93447885.

It is an arithmetic number, because the mean of its divisors is an integer number (346264065).

Almost surely, 245882791240 is an apocalyptic number.

45882791240 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 45882791240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66482700480).

45882791240 is an abundant number, since it is smaller than the sum of its proper divisors (87082609720).

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

45882791240 is a wasteful number, since it uses less digits than its factorization.

45882791240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 570 counting only the distinct ones).

The product of its (nonzero) digits is 1290240, while the sum is 50.

The spelling of 45882791240 in words is "forty-five billion, eight hundred eighty-two million, seven hundred ninety-one thousand, two hundred forty".