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49337427456 = 293359241251
BaseRepresentation
bin101101111100101111…
…010110011000000000
311201100102001222222000
4231330233112120000
51302020340134311
634355412144000
73364425133242
oct557457263000
9151312058860
1049337427456
1119a18767539
12968b008000
134863706275
14256073a092
15143b617056
hexb7cbd6600

49337427456 has 320 divisors, whose sum is σ = 149727916800. Its totient is φ = 16035840000.

The previous prime is 49337427409. The next prime is 49337427457. The reversal of 49337427456 is 65472473394.

It is a happy number.

49337427456 is a `hidden beast` number, since 493 + 37 + 4 + 2 + 74 + 56 = 666.

49337427456 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 (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49337427457) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 196563331 + ... + 196563581.

It is an arithmetic number, because the mean of its divisors is an integer number (467899740).

Almost surely, 249337427456 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 49337427456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (74863958400).

49337427456 is an abundant number, since it is smaller than the sum of its proper divisors (100390489344).

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

49337427456 is a wasteful number, since it uses less digits than its factorization.

49337427456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 578 (or 556 counting only the distinct ones).

The product of its digits is 15240960, while the sum is 54.

The spelling of 49337427456 in words is "forty-nine billion, three hundred thirty-seven million, four hundred twenty-seven thousand, four hundred fifty-six".