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46485054000 = 24325371123049
BaseRepresentation
bin101011010010101110…
…011010001000110000
311102222121211102011200
4223102232122020300
51230200133212000
633204400011200
73233641303530
oct532256321060
9142877742150
1046485054000
1118794668100
129013900b00
1344ca79c518
14236d9a14c0
151320ed4500
hexad2b9a230

46485054000 has 720 divisors, whose sum is σ = 204019233600. Its totient is φ = 9656064000.

The previous prime is 46485053987. The next prime is 46485054019. The reversal of 46485054000 is 45058464.

46485054000 is a `hidden beast` number, since 4 + 64 + 8 + 50 + 540 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 15244476 + ... + 15247524.

Almost surely, 246485054000 is an apocalyptic number.

46485054000 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 46485054000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102009616800).

46485054000 is an abundant number, since it is smaller than the sum of its proper divisors (157534179600).

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

46485054000 is a wasteful number, since it uses less digits than its factorization.

46485054000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3107 (or 3077 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 46485054000 in words is "forty-six billion, four hundred eighty-five million, fifty-four thousand".