Search a number
-
+
49063698432 = 2133572503
BaseRepresentation
bin101101101100011011…
…001010000000000000
311200122100000010100000
4231230123022000000
51300440301322212
634312313200000
73354562361400
oct555433120000
9150570003300
1049063698432
11198981a6901
129613400000
13481baa6028
142536244800
1514225971dc
hexb6c6ca000

49063698432 has 504 divisors, whose sum is σ = 171316899936. Its totient is φ = 13990330368.

The previous prime is 49063698421. The next prime is 49063698433. The reversal of 49063698432 is 23489636094.

49063698432 is a `hidden beast` number, since 4 + 90 + 6 + 36 + 98 + 432 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (49063698433) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 97541893 + ... + 97542395.

It is an arithmetic number, because the mean of its divisors is an integer number (339914484).

Almost surely, 249063698432 is an apocalyptic number.

49063698432 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 49063698432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85658449968).

49063698432 is an abundant number, since it is smaller than the sum of its proper divisors (122253201504).

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

49063698432 is an frugal number, since it uses more digits than its factorization.

49063698432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 515 counting only the distinct ones).

The product of its (nonzero) digits is 6718464, while the sum is 54.

The spelling of 49063698432 in words is "forty-nine billion, sixty-three million, six hundred ninety-eight thousand, four hundred thirty-two".