Search a number
-
+
49787137296 = 24341313212237
BaseRepresentation
bin101110010111100010…
…110110110100010000
311202111202021121220000
4232113202312310100
51303431001343141
634512155050000
73411525453531
oct562742666420
9152452247800
1049787137296
111a1295a5166
129795740900
134905930b70
1425a4360688
151465d495b6
hexb978b6d10

49787137296 has 200 divisors, whose sum is σ = 155369810904. Its totient is φ = 15300679680.

The previous prime is 49787137259. The next prime is 49787137303. The reversal of 49787137296 is 69273178794.

49787137296 is a `hidden beast` number, since 49 + 78 + 71 + 372 + 96 = 666.

49787137296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 16342042896 + 33445094400 = 127836^2 + 182880^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 22255090 + ... + 22257326.

Almost surely, 249787137296 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 49787137296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77684905452).

49787137296 is an abundant number, since it is smaller than the sum of its proper divisors (105582673608).

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

49787137296 is a wasteful number, since it uses less digits than its factorization.

49787137296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3591 (or 3576 counting only the distinct ones).

The product of its digits is 32006016, while the sum is 63.

The spelling of 49787137296 in words is "forty-nine billion, seven hundred eighty-seven million, one hundred thirty-seven thousand, two hundred ninety-six".