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5706823557120 = 213357217127439
BaseRepresentation
bin101001100001011100100…
…1100001110000000000000
3202012120022100100010210220
41103002321030032000000
51222000033312311440
620045402322223040
71126206256603200
oct123027114160000
922176270303726
105706823557120
111900283137664
1278202b7b4a80
133251c710a36a
1415a2d6dd8400
159d6aa88d8d0
hex530b930e000

5706823557120 has 1344 divisors, whose sum is σ = 22720332349440. Its totient is φ = 1215245058048.

The previous prime is 5706823557091. The next prime is 5706823557133. The reversal of 5706823557120 is 217553286075.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a super-2 number, since 2×57068235571202 (a number of 26 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (51).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 12999597861 + ... + 12999598299.

Almost surely, 25706823557120 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 5706823557120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11360166174720).

5706823557120 is an abundant number, since it is smaller than the sum of its proper divisors (17013508792320).

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

5706823557120 is a wasteful number, since it uses less digits than its factorization.

5706823557120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 3528000, while the sum is 51.

The spelling of 5706823557120 in words is "five trillion, seven hundred six billion, eight hundred twenty-three million, five hundred fifty-seven thousand, one hundred twenty".