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46481707008 = 2123311192011
BaseRepresentation
bin101011010010100001…
…101001000000000000
311102222101112100222000
4223102201221000000
51230143304111013
633204200144000
73233600663532
oct532241510000
9142871470860
1046481707008
11187927914a0
129012768000
1344c9b99c59
14236d36d852
151320a72973
hexad2869000

46481707008 has 416 divisors, whose sum is σ = 158210803200. Its totient is φ = 13337395200.

The previous prime is 46481707001. The next prime is 46481707031. The reversal of 46481707008 is 80070718464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46481707001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23112723 + ... + 23114733.

Almost surely, 246481707008 is an apocalyptic number.

46481707008 is a gapful number since it is divisible by the number (48) 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 46481707008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79105401600).

46481707008 is an abundant number, since it is smaller than the sum of its proper divisors (111729096192).

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

46481707008 is a wasteful number, since it uses less digits than its factorization.

46481707008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2074 (or 2046 counting only the distinct ones).

The product of its (nonzero) digits is 301056, while the sum is 45.

The spelling of 46481707008 in words is "forty-six billion, four hundred eighty-one million, seven hundred seven thousand, eight".