Search a number
-
+
48771630648 = 2332133113712269
BaseRepresentation
bin101101011011000001…
…000000011000111000
311122212222102112122200
4231123001000120320
51244341014140043
634223321150200
73344415006666
oct553301003070
9148788375580
1048771630648
111975834aa74
12955162b360
1347a3424860
142509537c36
151406b037d3
hexb5b040638

48771630648 has 192 divisors, whose sum is σ = 147923193600. Its totient is φ = 14415390720.

The previous prime is 48771630641. The next prime is 48771630751. The reversal of 48771630648 is 84603617784.

48771630648 is a `hidden beast` number, since 487 + 71 + 6 + 30 + 64 + 8 = 666.

It is a Cunningham number, because it is equal to 2208432-1.

It is a junction number, because it is equal to n+sod(n) for n = 48771630594 and 48771630603.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48771630641) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3969058 + ... + 3981326.

It is an arithmetic number, because the mean of its divisors is an integer number (770433300).

Almost surely, 248771630648 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 48771630648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73961596800).

48771630648 is an abundant number, since it is smaller than the sum of its proper divisors (99151562952).

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

48771630648 is a wasteful number, since it uses less digits than its factorization.

48771630648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12462 (or 12455 counting only the distinct ones).

The product of its (nonzero) digits is 5419008, while the sum is 54.

The spelling of 48771630648 in words is "forty-eight billion, seven hundred seventy-one million, six hundred thirty thousand, six hundred forty-eight".