Search a number
-
+
49189281792 = 2133719101149
BaseRepresentation
bin101101110011111010…
…001110000000000000
311200222002022102022120
4231303322032000000
51301214424004132
634333001004240
73360645665550
oct556372160000
9150862272276
1049189281792
1119952081502
129649483680
13483bb06401
142548bb5160
15142d60202c
hexb73e8e000

49189281792 has 448 divisors, whose sum is σ = 160422336000. Its totient is φ = 13094092800.

The previous prime is 49189281787. The next prime is 49189281793. The reversal of 49189281792 is 29718298194.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49189281793) 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, 330129334 + ... + 330129482.

Almost surely, 249189281792 is an apocalyptic number.

49189281792 is a gapful number since it is divisible by the number (42) 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 49189281792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80211168000).

49189281792 is an abundant number, since it is smaller than the sum of its proper divisors (111233054208).

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

49189281792 is a wasteful number, since it uses less digits than its factorization.

49189281792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 281 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 60.

The spelling of 49189281792 in words is "forty-nine billion, one hundred eighty-nine million, two hundred eighty-one thousand, seven hundred ninety-two".