Search a number
-
+
47822639645088 = 253371119227166667
BaseRepresentation
bin10101101111110100100110…
…11100101100000110100000
320021022210120222111212021000
422313322103130230012200
522232011231222120323
6245413230052232000
713034033406653160
oct1267722334540640
9207283528455230
1047822639645088
11142685163895a0
12544442130b600
13208b86a38b449
14bb48b17605a0
1557de9b08ae43
hex2b7e9372c1a0

47822639645088 has 768 divisors, whose sum is σ = 183860670873600. Its totient is φ = 11715793136640.

The previous prime is 47822639645023. The next prime is 47822639645089. The reversal of 47822639645088 is 88054693622874.

47822639645088 is a `hidden beast` number, since 4 + 7 + 8 + 2 + 2 + 6 + 3 + 96 + 450 + 88 = 666.

47822639645088 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (47822639645089) by changing a digit.

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, 286851931 + ... + 287018597.

It is an arithmetic number, because the mean of its divisors is an integer number (239401915200).

Almost surely, 247822639645088 is an apocalyptic number.

47822639645088 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 47822639645088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91930335436800).

47822639645088 is an abundant number, since it is smaller than the sum of its proper divisors (136038031228512).

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

47822639645088 is a wasteful number, since it uses less digits than its factorization.

47822639645088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 166950 (or 166936 counting only the distinct ones).

The product of its (nonzero) digits is 1114767360, while the sum is 72.

The spelling of 47822639645088 in words is "forty-seven trillion, eight hundred twenty-two billion, six hundred thirty-nine million, six hundred forty-five thousand, eighty-eight".