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132394332681 = 33135371100237
BaseRepresentation
bin111101101001101010…
…0010011001000001001
3110122201210021221121000
41323103110103020021
54132120422121211
6140453210005213
712364566155052
oct1732324231011
9418653257530
10132394332681
115116a170776
12217aa716809
13c63bc57a30
14659d491729
15369d16a656
hex1ed3513209

132394332681 has 64 divisors (see below), whose sum is σ = 218246192640. Its totient is φ = 78809552640.

The previous prime is 132394332647. The next prime is 132394332689. The reversal of 132394332681 is 186233493231.

132394332681 is a `hidden beast` number, since 1 + 3 + 239 + 4 + 332 + 6 + 81 = 666.

It is not a de Polignac number, because 132394332681 - 26 = 132394332617 is a prime.

It is a super-2 number, since 2×1323943326812 (a number of 23 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (132394332689) 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, 1270695 + ... + 1370931.

It is an arithmetic number, because the mean of its divisors is an integer number (3410096760).

Almost surely, 2132394332681 is an apocalyptic number.

It is an amenable number.

132394332681 is a deficient number, since it is larger than the sum of its proper divisors (85851859959).

132394332681 is a wasteful number, since it uses less digits than its factorization.

132394332681 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100383 (or 100377 counting only the distinct ones).

The product of its digits is 559872, while the sum is 45.

The spelling of 132394332681 in words is "one hundred thirty-two billion, three hundred ninety-four million, three hundred thirty-two thousand, six hundred eighty-one".

Divisors: 1 3 9 13 27 39 53 71 117 159 213 351 477 639 689 923 1431 1917 2067 2769 3763 6201 8307 11289 18603 24921 33867 48919 100237 101601 146757 300711 440271 902133 1303081 1320813 2706399 3909243 5312561 7116827 11727729 15937683 21350481 35183187 47813049 64051443 69063293 92518751 143439147 192154329 207189879 277556253 377191831 621569637 832668759 1131575493 1864708911 2498006277 3394726479 4903493803 10184179437 14710481409 44131444227 132394332681