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5768016726528 = 29327419231193
BaseRepresentation
bin101001111101111100010…
…0101101000101000000000
3202102102021000002020021200
41103323320211220220000
51224000344240222103
620133442412221200
71133503555140000
oct123737045505000
922372230066250
105768016726528
111924225085541
12791a6916a800
1332abc9b09944
1415d260120000
15a008cc2d0a3
hex53ef8968a00

5768016726528 has 1200 divisors, whose sum is σ = 21349005986880. Its totient is φ = 1492134690816.

The previous prime is 5768016726517. The next prime is 5768016726611. The reversal of 5768016726528 is 8256276108675.

5768016726528 is a `hidden beast` number, since 5 + 7 + 6 + 80 + 1 + 6 + 7 + 26 + 528 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 119 ways as a sum of consecutive naturals, for example, 4834883500 + ... + 4834884692.

Almost surely, 25768016726528 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 5768016726528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10674502993440).

5768016726528 is an abundant number, since it is smaller than the sum of its proper divisors (15580989260352).

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

5768016726528 is a wasteful number, since it uses less digits than its factorization.

5768016726528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1287 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 67737600, while the sum is 63.

The spelling of 5768016726528 in words is "five trillion, seven hundred sixty-eight billion, sixteen million, seven hundred twenty-six thousand, five hundred twenty-eight".