Search a number
-
+
49315142016 = 2732779199389
BaseRepresentation
bin101101111011011010…
…010101100110000000
311201021212010210002100
4231323122111212000
51301444134021031
634353254350400
73364034535150
oct557332254600
9151255123070
1049315142016
1119a07126118
12968365b400
13485bc0280a
14255b7b8760
1514396b3de6
hexb7b695980

49315142016 has 384 divisors, whose sum is σ = 165484800000. Its totient is φ = 13806194688.

The previous prime is 49315141999. The next prime is 49315142017. The reversal of 49315142016 is 61024151394.

It is a happy number.

49315142016 is a `hidden beast` number, since 493 + 15 + 142 + 0 + 16 = 666.

49315142016 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49315142017) 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, 126773950 + ... + 126774338.

It is an arithmetic number, because the mean of its divisors is an integer number (430950000).

Almost surely, 249315142016 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 49315142016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82742400000).

49315142016 is an abundant number, since it is smaller than the sum of its proper divisors (116169657984).

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

49315142016 is a wasteful number, since it uses less digits than its factorization.

49315142016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 694 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The spelling of 49315142016 in words is "forty-nine billion, three hundred fifteen million, one hundred forty-two thousand, sixteen".