Search a number
-
+
20854964336136 = 233721723106342667
BaseRepresentation
bin1001011110111101011001…
…01111011011011000001000
32201211201022022200211012120
410233132230233123120020
510213141431332224021
6112204345515011240
74251502312665600
oct457365457333010
981751268624176
1020854964336136
1167105a4753017
1224099b9439b20
13b837cb652a18
1452155836dc00
1526274377c2c6
hex12f7acbdb608

20854964336136 has 384 divisors, whose sum is σ = 67073932154880. Its totient is φ = 5359057127424.

The previous prime is 20854964336111. The next prime is 20854964336137. The reversal of 20854964336136 is 63163346945802.

It is a hoax number, since the sum of its digits (60) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 20854964336136.

It is not an unprimeable number, because it can be changed into a prime (20854964336137) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 488763075 + ... + 488805741.

It is an arithmetic number, because the mean of its divisors is an integer number (174671698320).

Almost surely, 220854964336136 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 20854964336136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33536966077440).

20854964336136 is an abundant number, since it is smaller than the sum of its proper divisors (46218967818744).

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

20854964336136 is a wasteful number, since it uses less digits than its factorization.

20854964336136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 43793 (or 43782 counting only the distinct ones).

The product of its (nonzero) digits is 67184640, while the sum is 60.

The spelling of 20854964336136 in words is "twenty trillion, eight hundred fifty-four billion, nine hundred sixty-four million, three hundred thirty-six thousand, one hundred thirty-six".