Search a number
-
+
48016208448 = 2632136412421
BaseRepresentation
bin101100101101111111…
…010011001001000000
311120221022222010012200
4230231333103021000
51241314122132243
634020333553200
73316613015625
oct545577231100
9146838863180
1048016208448
11193aa9970aa
129380645800
1346b2a7c080
14247709434c
1513b0634ad3
hexb2dfd3240

48016208448 has 84 divisors (see below), whose sum is σ = 148216722108. Its totient is φ = 14774215680.

The previous prime is 48016208447. The next prime is 48016208491. The reversal of 48016208448 is 84480261084.

48016208448 is a `hidden beast` number, since 48 + 0 + 162 + 0 + 8 + 448 = 666.

48016208448 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5087683584 + 42928524864 = 71328^2 + 207192^2 .

It is not an unprimeable number, because it can be changed into a prime (48016208447) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3198723 + ... + 3213698.

It is an arithmetic number, because the mean of its divisors is an integer number (1764484787).

Almost surely, 248016208448 is an apocalyptic number.

48016208448 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

48016208448 is an abundant number, since it is smaller than the sum of its proper divisors (100200513660).

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

48016208448 is a wasteful number, since it uses less digits than its factorization.

48016208448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6412452 (or 6412439 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 48016208448 in words is "forty-eight billion, sixteen million, two hundred eight thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 48 52 64 72 78 96 104 117 144 156 192 208 234 288 312 416 468 576 624 832 936 1248 1872 2496 3744 7488 6412421 12824842 19237263 25649684 38474526 51299368 57711789 76949052 83361473 102598736 115423578 153898104 166722946 205197472 230847156 250084419 307796208 333445892 410394944 461694312 500168838 615592416 666891784 750253257 923388624 1000337676 1231184832 1333783568 1500506514 1846777248 2000675352 2667567136 3001013028 3693554496 4001350704 5335134272 6002026056 8002701408 12004052112 16005402816 24008104224 48016208448