Search a number
-
+
49103290368 = 214331110091
BaseRepresentation
bin101101101110110010…
…001100000000000000
311200202002111121021000
4231232302030000000
51301030420242433
634320245532000
73355553036646
oct555662140000
9150662447230
1049103290368
1119908588910
129624714000
134827058c02
14253b5cd196
151425cb8113
hexb6ec8c000

49103290368 has 240 divisors, whose sum is σ = 158728590720. Its totient is φ = 14878310400.

The previous prime is 49103290337. The next prime is 49103290403. The reversal of 49103290368 is 86309230194.

It is a happy number.

It is a super-2 number, since 2×491032903682 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4861003 + ... + 4871093.

It is an arithmetic number, because the mean of its divisors is an integer number (661369128).

Almost surely, 249103290368 is an apocalyptic number.

49103290368 is a gapful number since it is divisible by the number (48) 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 49103290368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (79364295360).

49103290368 is an abundant number, since it is smaller than the sum of its proper divisors (109625300352).

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

49103290368 is a wasteful number, since it uses less digits than its factorization.

49103290368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10139 (or 10107 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 49103290368 in words is "forty-nine billion, one hundred three million, two hundred ninety thousand, three hundred sixty-eight".