Search a number
-
+
48079682496 = 26324711511543
BaseRepresentation
bin101100110001110001…
…011011101111000000
311121002202101221020100
4230301301123233000
51241431344314441
634030522242400
73321313362306
oct546161335700
9147082357210
1048079682496
111943280009a
129399956400
1346c2c74391
142481698276
1513b5ec1cb6
hexb31c5bbc0

48079682496 has 168 divisors, whose sum is σ = 140957466624. Its totient is φ = 15661785600.

The previous prime is 48079682491. The next prime is 48079682501. The reversal of 48079682496 is 69428697084.

48079682496 is a `hidden beast` number, since 4 + 80 + 7 + 9 + 68 + 2 + 496 = 666.

48079682496 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (48079682491) and next prime (48079682501).

It is a super-3 number, since 3×480796824963 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (48079682491) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 31159101 + ... + 31160643.

Almost surely, 248079682496 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 48079682496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70478733312).

48079682496 is an abundant number, since it is smaller than the sum of its proper divisors (92877784128).

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

48079682496 is a wasteful number, since it uses less digits than its factorization.

48079682496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2759 (or 2746 counting only the distinct ones).

The product of its (nonzero) digits is 41803776, while the sum is 63.

The spelling of 48079682496 in words is "forty-eight billion, seventy-nine million, six hundred eighty-two thousand, four hundred ninety-six".