Search a number
-
+
4881017856 = 2103111341271
BaseRepresentation
bin1001000101110111…
…00110110000000000
3110121011111101202010
410202323212300000
534444020032411
62124201052520
7231645652521
oct44273466000
913534441663
104881017856
112085230a60
12b42787140
135ca300060
1434436c848
151d87a27a6
hex122ee6c00

4881017856 has 352 divisors, whose sum is σ = 15714671616. Its totient is φ = 1327104000.

The previous prime is 4881017807. The next prime is 4881017899. The reversal of 4881017856 is 6587101884.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (352).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 18011001 + ... + 18011271.

Almost surely, 24881017856 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4881017856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7857335808).

4881017856 is an abundant number, since it is smaller than the sum of its proper divisors (10833653760).

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

4881017856 is a wasteful number, since it uses less digits than its factorization.

4881017856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 359 (or 341 counting only the distinct ones).

The product of its (nonzero) digits is 430080, while the sum is 48.

The square root of 4881017856 is about 69864.2816895730. The cubic root of 4881017856 is about 1696.3031379354.

It can be divided in two parts, 48810 and 17856, that added together give a palindrome (66666).

The spelling of 4881017856 in words is "four billion, eight hundred eighty-one million, seventeen thousand, eight hundred fifty-six".