Search a number
-
+
49255113600 = 273252721119167
BaseRepresentation
bin101101110111110101…
…010110001110000000
311201010200012000120200
4231313311112032000
51301333302113400
634343312005200
73362405362200
oct556765261600
9151120160520
1049255113600
1119986255960
129667530800
13484c645944
142553830400
1514342a7b00
hexb77d56380

49255113600 has 1728 divisors, whose sum is σ = 236178633600. Its totient is φ = 9638092800.

The previous prime is 49255113599. The next prime is 49255113631. The reversal of 49255113600 is 631155294.

49255113600 is a `hidden beast` number, since 4 + 92 + 551 + 13 + 6 + 0 + 0 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 294940717 + ... + 294940883.

It is an arithmetic number, because the mean of its divisors is an integer number (136677450).

Almost surely, 249255113600 is an apocalyptic number.

49255113600 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 49255113600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (118089316800).

49255113600 is an abundant number, since it is smaller than the sum of its proper divisors (186923520000).

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

49255113600 is a wasteful number, since it uses less digits than its factorization.

49255113600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 241 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 49255113600 its reverse (631155294), we get a palindrome (49886268894).

The spelling of 49255113600 in words is "forty-nine billion, two hundred fifty-five million, one hundred thirteen thousand, six hundred".