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5024286247680 = 283457232997107
BaseRepresentation
bin100100100011100111011…
…0011000000101100000000
3122210022120010222100010000
41021013032303000230000
51124304214234411210
614404043015040000
71025664332314020
oct111071663005400
918708503870100
105024286247680
111667873670937
126918a7370000
132a5a3278491b
14135269015a80
158aa5e906ac0
hex491cecc0b00

5024286247680 has 2880 divisors, whose sum is σ = 22616731146240. Its totient is φ = 1039854993408.

The previous prime is 5024286247619. The next prime is 5024286247691. The reversal of 5024286247680 is 867426824205.

5024286247680 is a `hidden beast` number, since 5 + 0 + 2 + 4 + 2 + 8 + 624 + 7 + 6 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2880).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 46955946187 + ... + 46955946293.

It is an arithmetic number, because the mean of its divisors is an integer number (7853031648).

Almost surely, 25024286247680 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 5024286247680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11308365573120).

5024286247680 is an abundant number, since it is smaller than the sum of its proper divisors (17592444898560).

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

5024286247680 is a wasteful number, since it uses less digits than its factorization.

5024286247680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 273 counting only the distinct ones).

The product of its (nonzero) digits is 10321920, while the sum is 54.

The spelling of 5024286247680 in words is "five trillion, twenty-four billion, two hundred eighty-six million, two hundred forty-seven thousand, six hundred eighty".