Search a number
-
+
48741132510 = 23357241591523
BaseRepresentation
bin101101011001001100…
…101010100011011110
311122210212001002002000
4231121030222203132
51244310212220020
634220311343130
73343564535100
oct553114524336
9148725032060
1048741132510
111974210a2a4
129543381aa6
13479a006c15
142505479570
1514040cc090
hexb5932a8de

48741132510 has 384 divisors, whose sum is σ = 157613299200. Its totient is φ = 10677864960.

The previous prime is 48741132491. The next prime is 48741132541. The reversal of 48741132510 is 1523114784.

48741132510 is a `hidden beast` number, since 4 + 8 + 7 + 4 + 1 + 132 + 510 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32002609 + ... + 32004131.

It is an arithmetic number, because the mean of its divisors is an integer number (410451300).

Almost surely, 248741132510 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48741132510, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (78806649600).

48741132510 is an abundant number, since it is smaller than the sum of its proper divisors (108872166690).

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

48741132510 is a wasteful number, since it uses less digits than its factorization.

48741132510 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1653 (or 1640 counting only the distinct ones).

The product of its (nonzero) digits is 26880, while the sum is 36.

The spelling of 48741132510 in words is "forty-eight billion, seven hundred forty-one million, one hundred thirty-two thousand, five hundred ten".