Search a number
-
+
49585413780 = 223257219449659
BaseRepresentation
bin101110001011100001…
…010101111010010100
311201222200201000020200
4232023201111322110
51303022331220110
634440151300500
73403526030400
oct561341257224
9151880630220
1049585413780
111a035745311
12973a07a730
1348a2bc2236
142585650100
15145329e6c0
hexb8b855e94

49585413780 has 432 divisors, whose sum is σ = 184864680000. Its totient is φ = 10697121792.

The previous prime is 49585413769. The next prime is 49585413827. The reversal of 49585413780 is 8731458594.

49585413780 is a `hidden beast` number, since 4 + 95 + 8 + 541 + 3 + 7 + 8 + 0 = 666.

49585413780 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 75243091 + ... + 75243749.

It is an arithmetic number, because the mean of its divisors is an integer number (427927500).

Almost surely, 249585413780 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 49585413780, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92432340000).

49585413780 is an abundant number, since it is smaller than the sum of its proper divisors (135279266220).

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

49585413780 is a wasteful number, since it uses less digits than its factorization.

49585413780 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1156 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 4838400, while the sum is 54.

The spelling of 49585413780 in words is "forty-nine billion, five hundred eighty-five million, four hundred thirteen thousand, seven hundred eighty".