Search a number
-
+
48488606208 = 293472107223
BaseRepresentation
bin101101001010001001…
…010110101000000000
311122011020212102010000
4231022021112220000
51243301040344313
634135251040000
73334410231600
oct551211265000
9148136772100
1048488606208
1119622610579
1294928a0000
1347598bb683
1424bdb02c00
1513dbd49673
hexb4a256a00

48488606208 has 600 divisors, whose sum is σ = 170689825152. Its totient is φ = 13662867456.

The previous prime is 48488606207. The next prime is 48488606249. The reversal of 48488606208 is 80260688484.

48488606208 is a `hidden beast` number, since 4 + 8 + 4 + 8 + 8 + 6 + 0 + 620 + 8 = 666.

It is a super-2 number, since 2×484886062082 (a number of 22 digits) contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (48488606203) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 217437585 + ... + 217437807.

Almost surely, 248488606208 is an apocalyptic number.

48488606208 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 48488606208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85344912576).

48488606208 is an abundant number, since it is smaller than the sum of its proper divisors (122201218944).

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

48488606208 is a wasteful number, since it uses less digits than its factorization.

48488606208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 374 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 4718592, while the sum is 54.

The spelling of 48488606208 in words is "forty-eight billion, four hundred eighty-eight million, six hundred six thousand, two hundred eight".