Search a number
-
+
67901981883021 = 3211131719598727283
BaseRepresentation
bin11110111000001101010011…
…00000100111101010001101
322220102100212212101122222200
433130012221200213222031
532400001224330224041
6400225423450032113
720205520260624036
oct1734065140475215
9286370785348880
1067901981883021
111a6aa0836322a0
127747a38418639
132bb718b435c60
1412aa68b255a8d
157cb4467b31b6
hex3dc1a9827a8d

67901981883021 has 192 divisors, whose sum is σ = 128453211694080. Its totient is φ = 33863972382720.

The previous prime is 67901981883013. The next prime is 67901981883053. The reversal of 67901981883021 is 12038818910976.

67901981883021 is a `hidden beast` number, since 67 + 9 + 0 + 1 + 98 + 188 + 302 + 1 = 666.

67901981883021 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 67901981883021 - 23 = 67901981883013 is a prime.

It is a super-2 number, since 2×679019818830212 (a number of 28 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 67901981883021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67901981888021) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2488788246 + ... + 2488815528.

It is an arithmetic number, because the mean of its divisors is an integer number (669027144240).

Almost surely, 267901981883021 is an apocalyptic number.

It is an amenable number.

67901981883021 is a deficient number, since it is larger than the sum of its proper divisors (60551229811059).

67901981883021 is a wasteful number, since it uses less digits than its factorization.

67901981883021 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33336 (or 33333 counting only the distinct ones).

The product of its (nonzero) digits is 10450944, while the sum is 63.

The spelling of 67901981883021 in words is "sixty-seven trillion, nine hundred one billion, nine hundred eighty-one million, eight hundred eighty-three thousand, twenty-one".