Search a number
-
+
48884524926048 = 25347291631673413
BaseRepresentation
bin10110001110101110100001…
…01111100100010001100000
320102002022111121000021210000
423013113100233210101200
522401411001340113143
6251545123555140000
713203535045633650
oct1307272057442140
9212068447007700
1048884524926048
11146378a09a3a89
1255961945a4600
132137a38863216
14c10048bb2360
1559b8ea806bd3
hex2c75d0be4460

48884524926048 has 960 divisors, whose sum is σ = 172089276226560. Its totient is φ = 13318494916608.

The previous prime is 48884524926001. The next prime is 48884524926067. The reversal of 48884524926048 is 84062942548884.

48884524926048 is a `hidden beast` number, since 4 + 8 + 8 + 8 + 4 + 5 + 2 + 4 + 9 + 2 + 604 + 8 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14323035190 + ... + 14323038602.

It is an arithmetic number, because the mean of its divisors is an integer number (179259662736).

Almost surely, 248884524926048 is an apocalyptic number.

48884524926048 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 48884524926048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86044638113280).

48884524926048 is an abundant number, since it is smaller than the sum of its proper divisors (123204751300512).

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

48884524926048 is a wasteful number, since it uses less digits than its factorization.

48884524926048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3801 (or 3784 counting only the distinct ones).

The product of its (nonzero) digits is 1132462080, while the sum is 72.

The spelling of 48884524926048 in words is "forty-eight trillion, eight hundred eighty-four billion, five hundred twenty-four million, nine hundred twenty-six thousand, forty-eight".