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648452552832 = 27357419457
BaseRepresentation
bin10010110111110101100…
…10001011100010000000
32021222202202212202200000
421123322302023202000
541111012323142312
61213521152400000
764564154520000
oct11337262134200
92258682782600
10648452552832
11230009619697
12a5811546000
13491c1c34806
1423557280000
1511d03944adc
hex96fac8b880

648452552832 has 960 divisors, whose sum is σ = 2381497591200. Its totient is φ = 175136919552.

The previous prime is 648452552789. The next prime is 648452552833. The reversal of 648452552832 is 238255254846.

648452552832 is a `hidden beast` number, since 6 + 4 + 8 + 4 + 5 + 2 + 552 + 83 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (648452552833) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1418933148 + ... + 1418933604.

Almost surely, 2648452552832 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 648452552832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1190748795600).

648452552832 is an abundant number, since it is smaller than the sum of its proper divisors (1733045038368).

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

648452552832 is an frugal number, since it uses more digits than its factorization.

648452552832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 533 (or 488 counting only the distinct ones).

The product of its digits is 18432000, while the sum is 54.

The spelling of 648452552832 in words is "six hundred forty-eight billion, four hundred fifty-two million, five hundred fifty-two thousand, eight hundred thirty-two".