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5772936960 = 2833573487
BaseRepresentation
bin1010110000001100…
…00000011100000000
3112220022210120202000
411120012000130000
543310332440320
62352502024000
7263026104000
oct53006003400
915808716660
105772936960
1124a2743a8a
121151418000
1371002753b
143ca9c4000
1523bc34c90
hex158180700

5772936960 has 576 divisors, whose sum is σ = 23939328000. Its totient is φ = 1316818944.

The previous prime is 5772936913. The next prime is 5772936973. The reversal of 5772936960 is 696392775.

5772936960 is a `hidden beast` number, since 577 + 2 + 9 + 3 + 6 + 9 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×57729369602 = 66653602288268083200, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 5772936897 and 5772936906.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11853837 + ... + 11854323.

Almost surely, 25772936960 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 5772936960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11969664000).

5772936960 is an abundant number, since it is smaller than the sum of its proper divisors (18166391040).

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

5772936960 is an equidigital number, since it uses as much as digits as its factorization.

5772936960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 504 counting only the distinct ones).

The product of its (nonzero) digits is 4286520, while the sum is 54.

The square root of 5772936960 is about 75979.8457487247. The cubic root of 5772936960 is about 1793.9029264820.

The spelling of 5772936960 in words is "five billion, seven hundred seventy-two million, nine hundred thirty-six thousand, nine hundred sixty".