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53550188640 = 25345133110253
BaseRepresentation
bin110001110111110101…
…110000100001100000
312010020000010102220000
4301313311300201200
51334132322014030
640333422220000
73604011043644
oct616765604140
9163200112800
1053550188640
112078a75a353
12a465a24600
13508542c570
142840034c24
1515d63b7860
hexc77d70860

53550188640 has 480 divisors, whose sum is σ = 210110858496. Its totient is φ = 12755128320.

The previous prime is 53550188623. The next prime is 53550188647. The reversal of 53550188640 is 4688105535.

53550188640 is a `hidden beast` number, since 5 + 3 + 5 + 501 + 88 + 64 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

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 (53550188647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 5217754 + ... + 5228006.

Almost surely, 253550188640 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 53550188640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105055429248).

53550188640 is an abundant number, since it is smaller than the sum of its proper divisors (156560669856).

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

53550188640 is a wasteful number, since it uses less digits than its factorization.

53550188640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10324 (or 10307 counting only the distinct ones).

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

The spelling of 53550188640 in words is "fifty-three billion, five hundred fifty million, one hundred eighty-eight thousand, six hundred forty".