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28133682381 = 3271743736007
BaseRepresentation
bin11010001100111001…
…011110110011001101
32200121200111010220100
4122030321132303031
5430104210314011
620531402241313
72014115232420
oct321471366315
980550433810
1028133682381
1110a27803a82
125551ab6239
13286482564c
14150c62b9b7
15ae9d70d56
hex68ce5eccd

28133682381 has 48 divisors (see below), whose sum is σ = 49194273024. Its totient is φ = 15124741632.

The previous prime is 28133682373. The next prime is 28133682403. The reversal of 28133682381 is 18328633182.

28133682381 is a `hidden beast` number, since 2 + 81 + 336 + 8 + 238 + 1 = 666.

It is not a de Polignac number, because 28133682381 - 23 = 28133682373 is a prime.

It is a super-2 number, since 2×281336823812 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (28133682331) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4680480 + ... + 4686486.

It is an arithmetic number, because the mean of its divisors is an integer number (1024880688).

Almost surely, 228133682381 is an apocalyptic number.

28133682381 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

28133682381 is a deficient number, since it is larger than the sum of its proper divisors (21060590643).

28133682381 is a wasteful number, since it uses less digits than its factorization.

28133682381 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10410 (or 10407 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The spelling of 28133682381 in words is "twenty-eight billion, one hundred thirty-three million, six hundred eighty-two thousand, three hundred eighty-one".

Divisors: 1 3 7 9 17 21 51 63 119 153 357 1071 4373 6007 13119 18021 30611 39357 42049 54063 74341 91833 102119 126147 223023 275499 306357 378441 520387 669069 714833 919071 1561161 2144499 4683483 6433497 26268611 78805833 183880277 236417499 446566387 551640831 1339699161 1654922493 3125964709 4019097483 9377894127 28133682381