Search a number
-
+
49003360560 = 24355711191723
BaseRepresentation
bin101101101000110100…
…111111000100110000
311200111010110122100000
4231220310333010300
51300324330014220
634302320030000
73353230456260
oct555064770460
9150433418300
1049003360560
11198671350a0
1295b7162300
13480c43b34b
14252c2197a0
15141c129390
hexb68d3f130

49003360560 has 960 divisors, whose sum is σ = 224105656320. Its totient is φ = 9640995840.

The previous prime is 49003360559. The next prime is 49003360613. The reversal of 49003360560 is 6506330094.

49003360560 is a `hidden beast` number, since 4 + 9 + 0 + 0 + 33 + 60 + 560 = 666.

49003360560 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 28439859 + ... + 28441581.

It is an arithmetic number, because the mean of its divisors is an integer number (233443392).

Almost surely, 249003360560 is an apocalyptic number.

49003360560 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49003360560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112052828160).

49003360560 is an abundant number, since it is smaller than the sum of its proper divisors (175102295760).

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

49003360560 is a wasteful number, since it uses less digits than its factorization.

49003360560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1788 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The spelling of 49003360560 in words is "forty-nine billion, three million, three hundred sixty thousand, five hundred sixty".