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65528568000 = 2633537192281
BaseRepresentation
bin111101000001110011…
…101001100011000000
320021010210120011022000
4331001303221203000
52033200303134000
650034200344000
74506600431520
oct750163514300
9207123504260
1065528568000
1125877194025
1210849475000
136243c640bc
143258c25680
151a87cb7000
hexf41ce98c0

65528568000 has 896 divisors, whose sum is σ = 289350297600. Its totient is φ = 14183424000.

The previous prime is 65528567989. The next prime is 65528568013. The reversal of 65528568000 is 86582556.

65528568000 is a `hidden beast` number, since 65 + 5 + 28 + 568 + 0 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 28726860 + ... + 28729140.

It is an arithmetic number, because the mean of its divisors is an integer number (322935600).

Almost surely, 265528568000 is an apocalyptic number.

65528568000 is a gapful number since it is divisible by the number (60) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 65528568000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144675148800).

65528568000 is an abundant number, since it is smaller than the sum of its proper divisors (223821729600).

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

65528568000 is a wasteful number, since it uses less digits than its factorization.

65528568000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2317 counting only the distinct ones).

The product of its (nonzero) digits is 576000, while the sum is 45.

The spelling of 65528568000 in words is "sixty-five billion, five hundred twenty-eight million, five hundred sixty-eight thousand".