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5657246544768 = 27371337127131263
BaseRepresentation
bin101001001010010111000…
…1010111011001110000000
3202000211100020102222011020
41102110232022323032000
51220142020103413033
620010523030545440
71122502562133450
oct122245612731600
922024306388136
105657246544768
111891252210485
127744b4508280
13320625b9a1b0
14157b52933d60
159c2581ed6b3
hex5252e2bb380

5657246544768 has 1024 divisors, whose sum is σ = 19363756769280. Its totient is φ = 1423836610560.

The previous prime is 5657246544749. The next prime is 5657246544779. The reversal of 5657246544768 is 8674456427565.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 21510443005 + ... + 21510443267.

It is an arithmetic number, because the mean of its divisors is an integer number (18909918720).

Almost surely, 25657246544768 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 5657246544768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9681878384640).

5657246544768 is an abundant number, since it is smaller than the sum of its proper divisors (13706510224512).

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

5657246544768 is a wasteful number, since it uses less digits than its factorization.

5657246544768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 595 (or 583 counting only the distinct ones).

The product of its digits is 1354752000, while the sum is 69.

The spelling of 5657246544768 in words is "five trillion, six hundred fifty-seven billion, two hundred forty-six million, five hundred forty-four thousand, seven hundred sixty-eight".