Search a number
-
+
20396427168 = 2531316343291
BaseRepresentation
bin10010111111101110…
…001100011110100000
31221122110110212002110
4102333232030132200
5313232441132133
613211530115320
71321304525145
oct227756143640
957573425073
1020396427168
118717284687
123b5287bb40
131c00867c20
14db6bda3cc
157e5975c63
hex4bfb8c7a0

20396427168 has 48 divisors (see below), whose sum is σ = 57659134176. Its totient is φ = 6275823360.

The previous prime is 20396427167. The next prime is 20396427187. The reversal of 20396427168 is 86172469302.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (20396427167) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 8170398 + ... + 8172893.

It is an arithmetic number, because the mean of its divisors is an integer number (1201231962).

Almost surely, 220396427168 is an apocalyptic number.

It is an amenable number.

20396427168 is an abundant number, since it is smaller than the sum of its proper divisors (37262707008).

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

20396427168 is a wasteful number, since it uses less digits than its factorization.

20396427168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16343317 (or 16343309 counting only the distinct ones).

The product of its (nonzero) digits is 870912, while the sum is 48.

It can be divided in two parts, 203964 and 27168, that added together give a palindrome (231132).

The spelling of 20396427168 in words is "twenty billion, three hundred ninety-six million, four hundred twenty-seven thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 78 96 104 156 208 312 416 624 1248 16343291 32686582 49029873 65373164 98059746 130746328 196119492 212462783 261492656 392238984 424925566 522985312 637388349 784477968 849851132 1274776698 1568955936 1699702264 2549553396 3399404528 5099106792 6798809056 10198213584 20396427168