Search a number
-
+
4105050673152 = 212311132980557
BaseRepresentation
bin111011101111001000000…
…101100101000000000000
3112112102212001001211020110
4323233020011211000000
51014224120433020102
612421500110311320
7602402660666202
oct73571005450000
915472761054213
104105050673152
111342a400a5210
125637051b8540
1323a148ac9670
14102985092772
1571bad80a86c
hex3bbc8165000

4105050673152 has 416 divisors, whose sum is σ = 13302587652480. Its totient is φ = 1108656783360.

The previous prime is 4105050673147. The next prime is 4105050673159. The reversal of 4105050673152 is 2513760505014.

It is a tau number, because it is divible by the number of its divisors (416).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 4105050673152.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4105050673159) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 50918058 + ... + 50998614.

Almost surely, 24105050673152 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 4105050673152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6651293826240).

4105050673152 is an abundant number, since it is smaller than the sum of its proper divisors (9197536979328).

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

4105050673152 is a wasteful number, since it uses less digits than its factorization.

4105050673152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 80637 (or 80615 counting only the distinct ones).

The product of its (nonzero) digits is 126000, while the sum is 39.

The spelling of 4105050673152 in words is "four trillion, one hundred five billion, fifty million, six hundred seventy-three thousand, one hundred fifty-two".