Search a number
-
+
5218265266110 = 23351329307166987
BaseRepresentation
bin100101111101111100011…
…0110001111011110111110
3200110212020212201110122000
41023323320312033132332
51140444001402003420
615033123222403130
71046002322624631
oct113737066173676
920425225643560
105218265266110
111732065780506
127034025904a6
132bb10756cbc0
141407cb5c5c18
1590b1449b690
hex4bef8d8f7be

5218265266110 has 256 divisors, whose sum is σ = 15553128729600. Its totient is φ = 1236155945472.

The previous prime is 5218265266087. The next prime is 5218265266117. The reversal of 5218265266110 is 116625628125.

5218265266110 is a `hidden beast` number, since 5 + 2 + 1 + 8 + 2 + 6 + 5 + 26 + 611 + 0 = 666.

It is a super-2 number, since 2×52182652661102 (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5218265266117) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 31166037 + ... + 31333023.

It is an arithmetic number, because the mean of its divisors is an integer number (60754409100).

Almost surely, 25218265266110 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 5218265266110, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (7776564364800).

5218265266110 is an abundant number, since it is smaller than the sum of its proper divisors (10334863463490).

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

5218265266110 is a wasteful number, since it uses less digits than its factorization.

5218265266110 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167352 (or 167346 counting only the distinct ones).

The product of its (nonzero) digits is 345600, while the sum is 45.

The spelling of 5218265266110 in words is "five trillion, two hundred eighteen billion, two hundred sixty-five million, two hundred sixty-six thousand, one hundred ten".