Search a number
-
+
20347441768128 = 26313917318012447
BaseRepresentation
bin1001010000001100000100…
…00010011110011011000000
32200001012022012110001122010
410220012002002132123000
510131333030043040003
6111135252525012520
74200024401230116
oct450060202363300
980035265401563
1020347441768128
11653533546a972
1223475790b4140
13b479a8b74997
14504b70041ab6
1525443c50a003
hex12818209e6c0

20347441768128 has 224 divisors, whose sum is σ = 54589258644480. Its totient is φ = 6688311091200.

The previous prime is 20347441768103. The next prime is 20347441768177. The reversal of 20347441768128 is 82186714474302.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8315259001 + ... + 8315261447.

It is an arithmetic number, because the mean of its divisors is an integer number (243702047520).

Almost surely, 220347441768128 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 20347441768128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27294629322240).

20347441768128 is an abundant number, since it is smaller than the sum of its proper divisors (34241816876352).

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

20347441768128 is a wasteful number, since it uses less digits than its factorization.

20347441768128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4575 (or 4565 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 20347441768128 in words is "twenty trillion, three hundred forty-seven billion, four hundred forty-one million, seven hundred sixty-eight thousand, one hundred twenty-eight".