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49372840000 = 26541121012
BaseRepresentation
bin101101111110110110…
…011100000001000000
311201102212201010211201
4231332312130001000
51302103421340000
634403115150544
73365335133641
oct557666340100
9151385633751
1049372840000
1119a36754500
12969aa45454
13486ab54a33
1425653176c8
15143e7ae96a
hexb7ed9c040

49372840000 has 315 divisors, whose sum is σ = 135915846913. Its totient is φ = 17776000000.

The previous prime is 49372839973. The next prime is 49372840003. The reversal of 49372840000 is 4827394.

It is a happy number.

The square root of 49372840000 is 222200.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 10655194176 + 38717645824 = 103224^2 + 196768^2 .

It is not an unprimeable number, because it can be changed into a prime (49372840003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 488839950 + ... + 488840050.

Almost surely, 249372840000 is an apocalyptic number.

49372840000 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

49372840000 is the 222200-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49372840000

49372840000 is an abundant number, since it is smaller than the sum of its proper divisors (86543006913).

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

49372840000 is an equidigital number, since it uses as much as digits as its factorization.

49372840000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 256 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 37.

The spelling of 49372840000 in words is "forty-nine billion, three hundred seventy-two million, eight hundred forty thousand".