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4495149360000 = 273254132831697
BaseRepresentation
bin100000101101001101111…
…0001111110001110000000
3120220201202200120101000100
41001122123301332032000
51042122031214010000
613321013151122400
7642522664061055
oct101323361761600
916821680511010
104495149360000
111483422697482
12607234513400
13267b77021410
141177d026102c
157bde0d3ba00
hex4169bc7e380

4495149360000 has 960 divisors, whose sum is σ = 17479082340720. Its totient is φ = 1101938688000.

The previous prime is 4495149359959. The next prime is 4495149360049. The reversal of 4495149360000 is 639415944.

4495149360000 is a `hidden beast` number, since 4 + 49 + 514 + 93 + 6 + 0 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2648879152 + ... + 2648880848.

Almost surely, 24495149360000 is an apocalyptic number.

4495149360000 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 4495149360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8739541170360).

4495149360000 is an abundant number, since it is smaller than the sum of its proper divisors (12983932980720).

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

4495149360000 is a wasteful number, since it uses less digits than its factorization.

4495149360000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2033 (or 2003 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 4495149360000 in words is "four trillion, four hundred ninety-five billion, one hundred forty-nine million, three hundred sixty thousand".