Search a number
-
+
5383827636120 = 23335236710132029
BaseRepresentation
bin100111001011000010100…
…1000100011111110011000
3201001200121012112021211000
41032112011020203332120
51201202034333323440
615241143554505000
71063653160560213
oct116260510437630
921050535467730
105383827636120
1117962a538757a
1272b508b95160
1330090101a10b
14148815b4a77a
15950a4428730
hex4e585223f98

5383827636120 has 512 divisors, whose sum is σ = 19194630912000. Its totient is φ = 1339334092800.

The previous prime is 5383827636101. The next prime is 5383827636163. The reversal of 5383827636120 is 216367283835.

It is a happy number.

5383827636120 is a `hidden beast` number, since 5 + 3 + 8 + 3 + 8 + 276 + 361 + 2 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 168076266 + ... + 168108294.

It is an arithmetic number, because the mean of its divisors is an integer number (37489513500).

Almost surely, 25383827636120 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 5383827636120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (9597315456000).

5383827636120 is an abundant number, since it is smaller than the sum of its proper divisors (13810803275880).

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

5383827636120 is a wasteful number, since it uses less digits than its factorization.

5383827636120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32240 (or 32230 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 54.

The spelling of 5383827636120 in words is "five trillion, three hundred eighty-three billion, eight hundred twenty-seven million, six hundred thirty-six thousand, one hundred twenty".