Search a number
-
+
2010460682448 = 243213961532517
BaseRepresentation
bin11101010000011000110…
…010110111100011010000
321010012100110110120121100
4131100120302313203100
5230414410413314243
64135332021424400
7265152042560361
oct35203062674320
97105313416540
102010460682448
117056a4708399
1228578326b100
1311777c81b8ba
146d441c91b68
153746b5390d3
hex1d418cb78d0

2010460682448 has 30 divisors (see below), whose sum is σ = 5626497604754. Its totient is φ = 670153560768.

The previous prime is 2010460682393. The next prime is 2010460682491. The reversal of 2010460682448 is 8442860640102.

2010460682448 is a `hidden beast` number, since 2 + 0 + 10 + 4 + 606 + 8 + 24 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1557084700224 + 453375982224 = 1247832^2 + 673332^2 .

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 5 ways as a sum of consecutive naturals, for example, 6980766115 + ... + 6980766402.

Almost surely, 22010460682448 is an apocalyptic number.

It is an amenable number.

2010460682448 is an abundant number, since it is smaller than the sum of its proper divisors (3616036922306).

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

2010460682448 is a wasteful number, since it uses less digits than its factorization.

2010460682448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13961532531 (or 13961532522 counting only the distinct ones).

The product of its (nonzero) digits is 589824, while the sum is 45.

The spelling of 2010460682448 in words is "two trillion, ten billion, four hundred sixty million, six hundred eighty-two thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 13961532517 27923065034 41884597551 55846130068 83769195102 111692260136 125653792653 167538390204 223384520272 251307585306 335076780408 502615170612 670153560816 1005230341224 2010460682448