Search a number
-
+
20324336124312 = 233211477119993847
BaseRepresentation
bin1001001111100001000001…
…10101011100000110011000
32122221222122221002201222100
410213300200311130012120
510130443220021434222
6111120512054523400
74165245665421063
oct447604065340630
978858587081870
1020324336124312
116526558984770
122342bab066560
13b45765c471ac
145039bb4d38da
15253a38ccd4ac
hex127c20d5c198

20324336124312 has 384 divisors, whose sum is σ = 62237859840000. Its totient is φ = 5938433222400.

The previous prime is 20324336124203. The next prime is 20324336124427. The reversal of 20324336124312 is 21342163342302.

20324336124312 is a `hidden beast` number, since 2 + 0 + 3 + 2 + 4 + 3 + 3 + 612 + 4 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 5283163173 + ... + 5283167019.

It is an arithmetic number, because the mean of its divisors is an integer number (162077760000).

Almost surely, 220324336124312 is an apocalyptic number.

20324336124312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20324336124312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31118929920000).

20324336124312 is an abundant number, since it is smaller than the sum of its proper divisors (41913523715688).

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

20324336124312 is a wasteful number, since it uses less digits than its factorization.

20324336124312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5987 (or 5980 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 36.

Adding to 20324336124312 its reverse (21342163342302), we get a palindrome (41666499466614).

The spelling of 20324336124312 in words is "twenty trillion, three hundred twenty-four billion, three hundred thirty-six million, one hundred twenty-four thousand, three hundred twelve".