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65056896000 = 210325356473
BaseRepresentation
bin111100100101101100…
…010111010000000000
320012220221000201221200
4330211230113100000
52031214031133000
645515311021200
74462112330505
oct744554272000
9205827021850
1065056896000
1125654a15958
121073750a800
13619a319c45
1432123254ac
151a5b697500
hexf25b17400

65056896000 has 264 divisors, whose sum is σ = 234441419784. Its totient is φ = 17348198400.

The previous prime is 65056895999. The next prime is 65056896007. The reversal of 65056896000 is 69865056.

65056896000 is a `hidden beast` number, since 6 + 505 + 6 + 89 + 60 + 0 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 727704576 + 64329191424 = 26976^2 + 253632^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (65056896007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1123764 + ... + 1180236.

It is an arithmetic number, because the mean of its divisors is an integer number (888035681).

Almost surely, 265056896000 is an apocalyptic number.

65056896000 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 65056896000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (117220709892).

65056896000 is an abundant number, since it is smaller than the sum of its proper divisors (169384523784).

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

65056896000 is a wasteful number, since it uses less digits than its factorization.

65056896000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56514 (or 56483 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 65056896000 in words is "sixty-five billion, fifty-six million, eight hundred ninety-six thousand".