Search a number
-
+
20912053026816 = 21732723311093
BaseRepresentation
bin1001100000100111101110…
…11111100000000000000000
32202001011122221010210100200
410300103313133200000000
510220110341033324231
6112250510423445200
74255563111601200
oct460236737400000
982034587123320
1020912053026816
11673282a837316
122418a902b6800
13b88cc8bac673
14524212306400
15263e85609be6
hex1304f77e0000

20912053026816 has 648 divisors, whose sum is σ = 70552414145304. Its totient is φ = 5951371345920.

The previous prime is 20912053026779. The next prime is 20912053026847. The reversal of 20912053026816 is 61862035021902.

20912053026816 is a `hidden beast` number, since 2 + 0 + 9 + 12 + 0 + 530 + 26 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

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 35 ways as a sum of consecutive naturals, for example, 19132710366 + ... + 19132711458.

It is an arithmetic number, because the mean of its divisors is an integer number (108877182323).

Almost surely, 220912053026816 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 20912053026816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35276207072652).

20912053026816 is an abundant number, since it is smaller than the sum of its proper divisors (49640361118488).

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

20912053026816 is an equidigital number, since it uses as much as digits as its factorization.

20912053026816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1478 (or 1436 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 20912053026816 in words is "twenty trillion, nine hundred twelve billion, fifty-three million, twenty-six thousand, eight hundred sixteen".