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55324416384 = 2732232989809
BaseRepresentation
bin110011100001100101…
…111001100110000000
312021210122122112210200
4303201211321212000
51401301022311014
641225442125200
73665663531406
oct634145714600
9167718575720
1055324416384
1121510210976
12a880050800
1352a8b97a73
14296b91d476
15168c02ea09
hexce1979980

55324416384 has 384 divisors, whose sum is σ = 173997720000. Its totient is φ = 16819224576.

The previous prime is 55324416349. The next prime is 55324416401. The reversal of 55324416384 is 48361442355.

55324416384 is a `hidden beast` number, since 5 + 5 + 3 + 2 + 4 + 4 + 1 + 638 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-3 number, since 3×553244163843 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 68385772 + ... + 68386580.

Almost surely, 255324416384 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 55324416384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86998860000).

55324416384 is an abundant number, since it is smaller than the sum of its proper divisors (118673303616).

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

55324416384 is a wasteful number, since it uses less digits than its factorization.

55324416384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 970 (or 955 counting only the distinct ones).

The product of its digits is 1382400, while the sum is 45.

The spelling of 55324416384 in words is "fifty-five billion, three hundred twenty-four million, four hundred sixteen thousand, three hundred eighty-four".