Search a number
-
+
49248390016000 = 2105374376171
BaseRepresentation
bin10110011001010100010001…
…10010101110110000000000
320110101002200222101000221001
423030222020302232300000
522423341200321003000
6252424221550541344
713242036005110000
oct1314521062566000
9213332628330831
1049248390016000
111476814129665a
125634802207854
132163145ac6086
14c238c5c40000
155a60e4be046a
hex2cca88caec00

49248390016000 has 1760 divisors, whose sum is σ = 151727161233024. Its totient is φ = 15931883520000.

The previous prime is 49248390015949. The next prime is 49248390016031. The reversal of 49248390016000 is 61009384294.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 693639295965 + ... + 693639296035.

Almost surely, 249248390016000 is an apocalyptic number.

49248390016000 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 49248390016000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (75863580616512).

49248390016000 is an abundant number, since it is smaller than the sum of its proper divisors (102478771217024).

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

49248390016000 is an frugal number, since it uses more digits than its factorization.

49248390016000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 232 (or 183 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 46.

The spelling of 49248390016000 in words is "forty-nine trillion, two hundred forty-eight billion, three hundred ninety million, sixteen thousand".