Search a number
-
+
5376722644524 = 223711149317349353
BaseRepresentation
bin100111000111101110110…
…1001001010111000101100
3201001000021001020022122010
41032033131221022320230
51201043011444111044
615234010550121220
71063312125256050
oct116173551127054
921030231208563
105376722644524
1117932898421a0
1272a065650210
1330003b04368a
1414834029dc60
1594cda7c0bb9
hex4e3dda4ae2c

5376722644524 has 384 divisors, whose sum is σ = 15886160640000. Its totient is φ = 1374934302720.

The previous prime is 5376722644519. The next prime is 5376722644589. The reversal of 5376722644524 is 4254462276735.

It is a super-3 number, since 3×53767226445243 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 127 ways as a sum of consecutive naturals, for example, 15231508732 + ... + 15231509084.

It is an arithmetic number, because the mean of its divisors is an integer number (41370210000).

Almost surely, 25376722644524 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 5376722644524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7943080320000).

5376722644524 is an abundant number, since it is smaller than the sum of its proper divisors (10509437995476).

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

5376722644524 is a wasteful number, since it uses less digits than its factorization.

5376722644524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1193 (or 1191 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 57.

The spelling of 5376722644524 in words is "five trillion, three hundred seventy-six billion, seven hundred twenty-two million, six hundred forty-four thousand, five hundred twenty-four".