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5712924349440 = 2103457112931199
BaseRepresentation
bin101001100100010010011…
…0100111001010000000000
3202020011001112001111120000
41103020210310321100000
51222100032113140230
620052251535320000
71126513406513550
oct123104464712000
922204045044500
105712924349440
111902923950190
12783252980000
1332595a036449
1415a715363160
159d916285b60
hex53224d39400

5712924349440 has 3520 divisors, whose sum is σ = 27392200704000. Its totient is φ = 1103619686400.

The previous prime is 5712924349367. The next prime is 5712924349453. The reversal of 5712924349440 is 449434292175.

5712924349440 is a `hidden beast` number, since 5 + 7 + 1 + 292 + 4 + 349 + 4 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3520).

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 319 ways as a sum of consecutive naturals, for example, 28708162461 + ... + 28708162659.

It is an arithmetic number, because the mean of its divisors is an integer number (7781875200).

Almost surely, 25712924349440 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 5712924349440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13696100352000).

5712924349440 is an abundant number, since it is smaller than the sum of its proper divisors (21679276354560).

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

5712924349440 is a wasteful number, since it uses less digits than its factorization.

5712924349440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 314 (or 287 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5712924349440 in words is "five trillion, seven hundred twelve billion, nine hundred twenty-four million, three hundred forty-nine thousand, four hundred forty".