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5688254147040 = 253651722912527
BaseRepresentation
bin101001011000110011001…
…0111100010100111100000
3202010210101012201101000000
41102301212113202213200
51221144021030201130
620033051535300000
71124651145325323
oct122614627424740
922123335641000
105688254147040
1118a341419aa63
1277a50897a600
13323527c3184a
14159454b087ba
159ce7050b260
hex52c665e29e0

5688254147040 has 672 divisors, whose sum is σ = 21428612311680. Its totient is φ = 1421292552192.

The previous prime is 5688254147039. The next prime is 5688254147071. The reversal of 5688254147040 is 407414528865.

5688254147040 is a `hidden beast` number, since 5 + 6 + 8 + 82 + 54 + 1 + 470 + 40 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 454073257 + ... + 454085783.

It is an arithmetic number, because the mean of its divisors is an integer number (31887815940).

Almost surely, 25688254147040 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 5688254147040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10714306155840).

5688254147040 is an abundant number, since it is smaller than the sum of its proper divisors (15740358164640).

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

5688254147040 is a wasteful number, since it uses less digits than its factorization.

5688254147040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12806 (or 12783 counting only the distinct ones).

The product of its (nonzero) digits is 8601600, while the sum is 54.

The spelling of 5688254147040 in words is "five trillion, six hundred eighty-eight billion, two hundred fifty-four million, one hundred forty-seven thousand, forty".