Search a number
-
+
20641997038080 = 2935113711358441
BaseRepresentation
bin1001011000110000101101…
…11001101010001000000000
32201002100121021011010212210
410230120112321222020000
510201144302220204310
6111522445202422120
74230222633555105
oct454302671521000
981070537133783
1020641997038080
116639249212970
122394683061940
13b696bb971922
14515113dd6aac
1525be2bbb5820
hex12c616e6a200

20641997038080 has 640 divisors, whose sum is σ = 74590177280256. Its totient is φ = 4825704038400.

The previous prime is 20641997038063. The next prime is 20641997038081. The reversal of 20641997038080 is 8083079914602.

It is a tau number, because it is divible by the number of its divisors (640).

It is a self number, because there is not a number n which added to its sum of digits gives 20641997038080.

It is not an unprimeable number, because it can be changed into a prime (20641997038081) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 353181660 + ... + 353240100.

Almost surely, 220641997038080 is an apocalyptic number.

20641997038080 is a gapful number since it is divisible by the number (20) 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 20641997038080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37295088640128).

20641997038080 is an abundant number, since it is smaller than the sum of its proper divisors (53948180242176).

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

20641997038080 is a wasteful number, since it uses less digits than its factorization.

20641997038080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58628 (or 58612 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 57.

The spelling of 20641997038080 in words is "twenty trillion, six hundred forty-one billion, nine hundred ninety-seven million, thirty-eight thousand, eighty".