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654044500640 = 2551736771229
BaseRepresentation
bin10011000010010000001…
…01110001001010100000
32022112012111010010222002
421201020011301022200
541203440343010030
61220244111303132
765152555345556
oct11411005611240
92275174103862
10654044500640
11232419084863
12a691221aaa8
13498a35ccb7b
1423927bcdbd6
151202e828245
hex98481712a0

654044500640 has 192 divisors, whose sum is σ = 1645497050400. Its totient is φ = 245664759808.

The previous prime is 654044500639. The next prime is 654044500651. The reversal of 654044500640 is 46005440456.

It can be written as a sum of positive squares in 16 ways, for example, as 498893592976 + 155150907664 = 706324^2 + 393892^2 .

It is a junction number, because it is equal to n+sod(n) for n = 654044500594 and 654044500603.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 532175546 + ... + 532176774.

Almost surely, 2654044500640 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 654044500640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (822748525200).

654044500640 is an abundant number, since it is smaller than the sum of its proper divisors (991452549760).

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

654044500640 is a wasteful number, since it uses less digits than its factorization.

654044500640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1930 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 38.

The spelling of 654044500640 in words is "six hundred fifty-four billion, forty-four million, five hundred thousand, six hundred forty".