Search a number
-
+
10053210048 = 263728291289
BaseRepresentation
bin10010101110011011…
…11100111111000000
3221221121212222120220
421113031330333000
5131042110210143
64341323103040
7504061606200
oct112715747700
927847788526
1010053210048
114299858562
121b46971a80
13c42a2a9cb
146b5254400
153dc8bdd83
hex25737cfc0

10053210048 has 168 divisors, whose sum is σ = 31003189200. Its totient is φ = 2866655232.

The previous prime is 10053210019. The next prime is 10053210053. The reversal of 10053210048 is 84001235001.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7798588 + ... + 7799876.

Almost surely, 210053210048 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 10053210048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15501594600).

10053210048 is an abundant number, since it is smaller than the sum of its proper divisors (20949979152).

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

10053210048 is a wasteful number, since it uses less digits than its factorization.

10053210048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2147 (or 2130 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

Adding to 10053210048 its reverse (84001235001), we get a palindrome (94054445049).

The spelling of 10053210048 in words is "ten billion, fifty-three million, two hundred ten thousand, forty-eight".