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27408195141 = 3174379281563
BaseRepresentation
bin11001100001101001…
…111101111001000101
32121202010100120111120
4121201221331321011
5422112444221031
620331404424153
71660125546315
oct314151757105
977663316446
1027408195141
1110695236748
12538ab48059
13277a431362
14148013b445
15aa6316a96
hex661a7de45

27408195141 has 64 divisors (see below), whose sum is σ = 40309125120. Its totient is φ = 16496363520.

The previous prime is 27408195131. The next prime is 27408195149. The reversal of 27408195141 is 14159180472.

It is not a de Polignac number, because 27408195141 - 25 = 27408195109 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 27408195093 and 27408195102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27408195149) 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 63 ways as a sum of consecutive naturals, for example, 48682126 + ... + 48682688.

It is an arithmetic number, because the mean of its divisors is an integer number (629830080).

Almost surely, 227408195141 is an apocalyptic number.

It is an amenable number.

27408195141 is a deficient number, since it is larger than the sum of its proper divisors (12900929979).

27408195141 is a wasteful number, since it uses less digits than its factorization.

27408195141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 986.

The product of its (nonzero) digits is 80640, while the sum is 42.

The spelling of 27408195141 in words is "twenty-seven billion, four hundred eight million, one hundred ninety-five thousand, one hundred forty-one".

Divisors: 1 3 17 43 51 79 129 237 281 563 731 843 1343 1689 2193 3397 4029 4777 9571 10191 12083 14331 22199 24209 28713 36249 44477 57749 66597 72627 133431 158203 173247 205411 377383 411553 474609 616233 756109 954557 1132149 1234659 1912511 2268327 2689451 2863671 5737533 6802729 8068353 12498037 16227469 20408187 32512687 37494111 48682407 97538061 115646393 212466629 346939179 537415591 637399887 1612246773 9136065047 27408195141