Search a number
-
+
20338367166 = 2331328972033
BaseRepresentation
bin10010111100010000…
…101101101010111110
31221111102020002202000
4102330100231222332
5313123110222131
613202053443130
71320001161045
oct227420555276
957442202660
1020338367166
118697529307
123b373404a6
131bc1819cb0
14dad20555c
157e0807ce6
hex4bc42dabe

20338367166 has 32 divisors (see below), whose sum is σ = 48673017120. Its totient is φ = 6257958912.

The previous prime is 20338367143. The next prime is 20338367167. The reversal of 20338367166 is 66176383302.

20338367166 is a `hidden beast` number, since 203 + 383 + 6 + 7 + 1 + 66 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20338367167) 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 15 ways as a sum of consecutive naturals, for example, 14485315 + ... + 14486718.

It is an arithmetic number, because the mean of its divisors is an integer number (1521031785).

Almost surely, 220338367166 is an apocalyptic number.

20338367166 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

20338367166 is an abundant number, since it is smaller than the sum of its proper divisors (28334649954).

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

20338367166 is a wasteful number, since it uses less digits than its factorization.

20338367166 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28972057 (or 28972051 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 20338367166 in words is "twenty billion, three hundred thirty-eight million, three hundred sixty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 117 234 351 702 28972033 57944066 86916099 173832198 260748297 376636429 521496594 753272858 782244891 1129909287 1564489782 2259818574 3389727861 6779455722 10169183583 20338367166