Search a number
-
+
5477051829060 = 223257219232311993
BaseRepresentation
bin100111110110011100110…
…1110101000101101000100
3201101121020011021222011200
41033230321232220231010
51204214000232012220
615352042312502500
71103463310255200
oct117547156505504
921347204258150
105477051829060
111821893a75529
127455a56aaa30
13309639acb966
1414d13ad2db00
159770d881890
hex4fb39ba8b44

5477051829060 has 1296 divisors, whose sum is σ = 21963308290560. Its totient is φ = 1097296865280.

The previous prime is 5477051829059. The next prime is 5477051829089. The reversal of 5477051829060 is 609281507745.

5477051829060 is a `hidden beast` number, since 5 + 47 + 7 + 0 + 518 + 29 + 0 + 60 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 5477051828988 and 5477051829006.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 2748143424 + ... + 2748145416.

Almost surely, 25477051829060 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 5477051829060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (10981654145280).

5477051829060 is an abundant number, since it is smaller than the sum of its proper divisors (16486256461500).

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

5477051829060 is a wasteful number, since it uses less digits than its factorization.

5477051829060 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2118 (or 2083 counting only the distinct ones).

The product of its (nonzero) digits is 4233600, while the sum is 54.

The spelling of 5477051829060 in words is "five trillion, four hundred seventy-seven billion, fifty-one million, eight hundred twenty-nine thousand, sixty".