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49347890496 = 2634173131789
BaseRepresentation
bin101101111101010111…
…010000110101000000
311201101010202120120000
4231331113100311000
51302031024443441
634400424320000
73364613101602
oct557527206500
9151333676500
1049347890496
1119a23663583
129692613000
13486592a808
142561ca1172
15143c4d22b6
hexb7d5d0d40

49347890496 has 280 divisors, whose sum is σ = 155469168360. Its totient is φ = 15423602688.

The previous prime is 49347890491. The next prime is 49347890507. The reversal of 49347890496 is 69409874394.

49347890496 is a `hidden beast` number, since 49 + 34 + 78 + 9 + 0 + 496 = 666.

49347890496 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 9801000000 + 39546890496 = 99000^2 + 198864^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49347890491) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 27583170 + ... + 27584958.

Almost surely, 249347890496 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 49347890496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (77734584180).

49347890496 is an abundant number, since it is smaller than the sum of its proper divisors (106121277864).

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

49347890496 is a wasteful number, since it uses less digits than its factorization.

49347890496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2143 (or 2124 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 49347890496 in words is "forty-nine billion, three hundred forty-seven million, eight hundred ninety thousand, four hundred ninety-six".