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49094151184 = 2413242612
BaseRepresentation
bin101101101110001111…
…010100110000010000
311200201110022021122201
4231232033110300100
51301021100314214
634315322012544
73355412254051
oct555617246020
9150643267581
1049094151184
1119903406471
129621647154
1348251a9100
14253a2d0728
1514250b0274
hexb6e3d4c10

49094151184 has 45 divisors (see below), whose sum is σ = 103023852759. Its totient is φ = 22653521280.

The previous prime is 49094151149. The next prime is 49094151191. The reversal of 49094151184 is 48115149094.

It is a happy number.

The square root of 49094151184 is 221572.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2147395600 + 46946755584 = 46340^2 + 216672^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11519614 + ... + 11523874.

Almost surely, 249094151184 is an apocalyptic number.

49094151184 is the 221572-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 49094151184

49094151184 is an abundant number, since it is smaller than the sum of its proper divisors (53929701575).

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

49094151184 is an frugal number, since it uses more digits than its factorization.

49094151184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8556 (or 4276 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 46.

The spelling of 49094151184 in words is "forty-nine billion, ninety-four million, one hundred fifty-one thousand, one hundred eighty-four".

Divisors: 1 2 4 8 13 16 26 52 104 169 208 338 676 1352 2704 4261 8522 17044 34088 55393 68176 110786 221572 443144 720109 886288 1440218 2880436 5760872 11521744 18156121 36312242 72624484 145248968 236029573 290497936 472059146 944118292 1888236584 3068384449 3776473168 6136768898 12273537796 24547075592 49094151184