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5772653568 = 21036111937
BaseRepresentation
bin1010110000001001…
…11011010000000000
3112220022021012000000
411120010323100000
543310244403233
62352452000000
7263023513533
oct53004732000
915808235000
105772653568
1124a2570080
121151300000
1370cc58556
143ca94ca1a
1523bbcad13
hex15813b400

5772653568 has 616 divisors, whose sum is σ = 20404823520. Its totient is φ = 1612431360.

The previous prime is 5772653567. The next prime is 5772653581. The reversal of 5772653568 is 8653562775.

5772653568 is a `hidden beast` number, since 5 + 7 + 7 + 26 + 53 + 568 = 666.

It is a super-2 number, since 2×57726535682 = 66647058432286261248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

Its product of digits (10584000) is a multiple of the sum of its prime divisors (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5772653567) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 156017646 + ... + 156017682.

Almost surely, 25772653568 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 5772653568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10202411760).

5772653568 is an abundant number, since it is smaller than the sum of its proper divisors (14632169952).

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

5772653568 is a wasteful number, since it uses less digits than its factorization.

5772653568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 72 counting only the distinct ones).

The product of its digits is 10584000, while the sum is 54.

The square root of 5772653568 is about 75977.9808102321. The cubic root of 5772653568 is about 1793.8735719229.

The spelling of 5772653568 in words is "five billion, seven hundred seventy-two million, six hundred fifty-three thousand, five hundred sixty-eight".