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49064022016 = 21234612
BaseRepresentation
bin101101101100011100…
…011001000000000000
311200122100121120012121
4231230130121000000
51300440342201031
634312324134024
73354565206652
oct555434310000
9150570546177
1049064022016
11198983a7a29
129613537314
13481bb8a3b9
1425362ca6d2
15142260d011
hexb6c719000

49064022016 has 39 divisors (see below), whose sum is σ = 98144422753. Its totient is φ = 24524922880.

The previous prime is 49064022001. The next prime is 49064022019. The reversal of 49064022016 is 61022046094.

The square root of 49064022016 is 221504.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 9701462016 + 39362560000 = 98496^2 + 198400^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49064022019) 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 2 ways as a sum of consecutive naturals, for example, 14174526 + ... + 14177986.

Almost surely, 249064022016 is an apocalyptic number.

49064022016 is the 221504-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49064022016

49064022016 is an abundant number, since it is smaller than the sum of its proper divisors (49080400737).

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

49064022016 is an frugal number, since it uses more digits than its factorization.

49064022016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6946 (or 3463 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

It can be divided in two parts, 490640 and 22016, that added together give a square (512656 = 7162).

The spelling of 49064022016 in words is "forty-nine billion, sixty-four million, twenty-two thousand, sixteen".

Divisors: 1 2 4 8 16 32 64 128 256 512 1024 2048 3461 4096 6922 13844 27688 55376 110752 221504 443008 886016 1772032 3544064 7088128 11978521 14176256 23957042 47914084 95828168 191656336 383312672 766625344 1533250688 3066501376 6133002752 12266005504 24532011008 49064022016