Search a number
-
+
4212703630368 = 253317552751893
BaseRepresentation
bin111101010011011000101…
…101000001010000100000
3112220201201120002200012000
4331103120231001100200
51023010104112132433
612543142255004000
7613233503015262
oct75233055012040
915821646080160
104212703630368
111384663413342
12580549b09600
13247343c9004c
14107c7867db32
15748ae83d113
hex3d4d8b41420

4212703630368 has 192 divisors, whose sum is σ = 13012424651520. Its totient is φ = 1321367924736.

The previous prime is 4212703630363. The next prime is 4212703630393. The reversal of 4212703630368 is 8630363072124.

4212703630368 is a `hidden beast` number, since 4 + 2 + 1 + 2 + 7 + 0 + 3 + 630 + 3 + 6 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (4212703630363) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 81154630 + ... + 81206522.

It is an arithmetic number, because the mean of its divisors is an integer number (67773045060).

Almost surely, 24212703630368 is an apocalyptic number.

4212703630368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4212703630368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6506212325760).

4212703630368 is an abundant number, since it is smaller than the sum of its proper divisors (8799721021152).

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

4212703630368 is a wasteful number, since it uses less digits than its factorization.

4212703630368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57456 (or 57442 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 45.

The spelling of 4212703630368 in words is "four trillion, two hundred twelve billion, seven hundred three million, six hundred thirty thousand, three hundred sixty-eight".