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5727952923264 = 27321113311121629
BaseRepresentation
bin101001101011010010010…
…0110010110101010000000
3202021120211212222011011100
41103112210212112222000
51222321321422021024
620103215114014400
71130555004341565
oct123264446265200
922246755864140
105727952923264
111909236109130
12786147a17400
133271b3778290
1415b33d2a486c
159dee58417c9
hex535a4996a80

5727952923264 has 384 divisors, whose sum is σ = 19989061747200. Its totient is φ = 1550538547200.

The previous prime is 5727952923257. The next prime is 5727952923289. The reversal of 5727952923264 is 4623292597275.

5727952923264 is a `hidden beast` number, since 5 + 7 + 2 + 79 + 529 + 2 + 32 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×57279529232642 (a number of 26 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4546002 + ... + 5667630.

It is an arithmetic number, because the mean of its divisors is an integer number (52054848300).

Almost surely, 25727952923264 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 5727952923264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9994530873600).

5727952923264 is an abundant number, since it is smaller than the sum of its proper divisors (14261108823936).

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

5727952923264 is a wasteful number, since it uses less digits than its factorization.

5727952923264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121704 (or 1121689 counting only the distinct ones).

The product of its digits is 114307200, while the sum is 63.

The spelling of 5727952923264 in words is "five trillion, seven hundred twenty-seven billion, nine hundred fifty-two million, nine hundred twenty-three thousand, two hundred sixty-four".