Search a number
-
+
49636421744 = 247133779107109
BaseRepresentation
bin101110001110100011…
…111011000001110000
311202010020200111000112
4232032203323001300
51303123410443434
634445212440452
73405015423560
oct561643730160
9152106614015
1049636421744
111a061514358
129753179128
1348b0641370
14258c32ada0
1514579c7dce
hexb8e8fb070

49636421744 has 320 divisors, whose sum is σ = 125391974400. Its totient is φ = 18516086784.

The previous prime is 49636421717. The next prime is 49636421771. The reversal of 49636421744 is 44712463694.

It is a happy number.

49636421744 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 (49636421717) and next prime (49636421771).

It is a junction number, because it is equal to n+sod(n) for n = 49636421692 and 49636421701.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 455379962 + ... + 455380070.

It is an arithmetic number, because the mean of its divisors is an integer number (391849920).

Almost surely, 249636421744 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 49636421744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62695987200).

49636421744 is an abundant number, since it is smaller than the sum of its proper divisors (75755552656).

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

49636421744 is a wasteful number, since it uses less digits than its factorization.

49636421744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 360 (or 354 counting only the distinct ones).

The product of its digits is 3483648, while the sum is 50.

The spelling of 49636421744 in words is "forty-nine billion, six hundred thirty-six million, four hundred twenty-one thousand, seven hundred forty-four".