Search a number
-
+
49235134080 = 27351110721787
BaseRepresentation
bin101101110110101001…
…001000011010000000
311201002021120221211110
4231312221020122000
51301313143242310
634341315443320
73362043506646
oct556651103200
9151067527743
1049235134080
1119975a49a60
1296608b6540
13484846b942
142550d0d196
15143265cd20
hexb76a48680

49235134080 has 256 divisors, whose sum is σ = 172811957760. Its totient is φ = 11823697920.

The previous prime is 49235134051. The next prime is 49235134087. The reversal of 49235134080 is 8043153294.

It is a super-3 number, since 3×492351340803 (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (49235134087) 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, 2248947 + ... + 2270733.

It is an arithmetic number, because the mean of its divisors is an integer number (675046710).

Almost surely, 249235134080 is an apocalyptic number.

49235134080 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 49235134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (86405978880).

49235134080 is an abundant number, since it is smaller than the sum of its proper divisors (123576823680).

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

49235134080 is a wasteful number, since it uses less digits than its factorization.

49235134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21927 (or 21915 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 39.

It can be divided in two parts, 49235 and 134080, that added together give a triangular number (183315 = T605).

The spelling of 49235134080 in words is "forty-nine billion, two hundred thirty-five million, one hundred thirty-four thousand, eighty".