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55328374784160 = 253553146199577
BaseRepresentation
bin11001001010010001001000…
…01000000000000010100000
321020220100012120100210200000
430211020210020000002200
524223000002421043120
6313401300545100000
714440225463663112
oct1445104410000240
9236810176323600
1055328374784160
11166a16a5181195
126257014927600
1324b459c08694a
14d93c9c7613b2
1565e340b38990
hex3252242000a0

55328374784160 has 576 divisors, whose sum is σ = 202557597225984. Its totient is φ = 14247174758400.

The previous prime is 55328374784141. The next prime is 55328374784183. The reversal of 55328374784160 is 6148747382355.

It is a happy number.

55328374784160 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 83 + 74 + 78 + 416 + 0 = 666.

It is a super-2 number, since 2×553283747841602 (a number of 28 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 555584292 + ... + 555683868.

It is an arithmetic number, because the mean of its divisors is an integer number (351662495184).

Almost surely, 255328374784160 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 55328374784160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (101278798612992).

55328374784160 is an abundant number, since it is smaller than the sum of its proper divisors (147229222441824).

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

55328374784160 is a wasteful number, since it uses less digits than its factorization.

55328374784160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100099 (or 100079 counting only the distinct ones).

The product of its (nonzero) digits is 135475200, while the sum is 63.

The spelling of 55328374784160 in words is "fifty-five trillion, three hundred twenty-eight billion, three hundred seventy-four million, seven hundred eighty-four thousand, one hundred sixty".