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5011818870240 = 2534572132174167
BaseRepresentation
bin100100011101110011110…
…1011101111010111100000
3122202010101021101221110000
41020323213223233113200
51124103201112321430
614354221531540000
71025043354333600
oct110734753572740
918663337357400
105011818870240
111662556104716
1268b3a7bba600
132a47c684a900
141348052d4c00
158a580113e60
hex48ee7aef5e0

5011818870240 has 4320 divisors, whose sum is σ = 24526400953824. Its totient is φ = 956470394880.

The previous prime is 5011818870239. The next prime is 5011818870251. The reversal of 5011818870240 is 420788181105.

5011818870240 is a `hidden beast` number, since 50 + 118 + 188 + 70 + 240 = 666.

It is a tau number, because it is divible by the number of its divisors (4320).

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 719 ways as a sum of consecutive naturals, for example, 74803266687 + ... + 74803266753.

Almost surely, 25011818870240 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5011818870240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12263200476912).

5011818870240 is an abundant number, since it is smaller than the sum of its proper divisors (19514582083584).

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

5011818870240 is a wasteful number, since it uses less digits than its factorization.

5011818870240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 155 counting only the distinct ones).

The product of its (nonzero) digits is 143360, while the sum is 45.

The spelling of 5011818870240 in words is "five trillion, eleven billion, eight hundred eighteen million, eight hundred seventy thousand, two hundred forty".