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4674837384765 = 325375010156041
BaseRepresentation
bin100010000000111001000…
…0001011000111000111101
3121112220120110021210200200
41010001302001120320331
51103043031332303030
613535331325114113
7661513554064302
oct104016201307075
917486513253620
104674837384765
111542650915a89
126360216b8939
1327bab2134222
1412239884b0a9
158190ae6cd60
hex44072058e3d

4674837384765 has 48 divisors (see below), whose sum is σ = 8322367465776. Its totient is φ = 2425769856000.

The previous prime is 4674837384731. The next prime is 4674837384883. The reversal of 4674837384765 is 5674837384764.

4674837384765 is a `hidden beast` number, since 4 + 6 + 7 + 4 + 83 + 73 + 8 + 476 + 5 = 666.

4674837384765 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 35974329561 + 4638863055204 = 189669^2 + 2153802^2 .

It is not a de Polignac number, because 4674837384765 - 214 = 4674837368381 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 4674837384693 and 4674837384702.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 83390145 + ... + 83446185.

It is an arithmetic number, because the mean of its divisors is an integer number (173382655537).

Almost surely, 24674837384765 is an apocalyptic number.

4674837384765 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4674837384765 is a deficient number, since it is larger than the sum of its proper divisors (3647530081011).

4674837384765 is a wasteful number, since it uses less digits than its factorization.

4674837384765 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106190 (or 106187 counting only the distinct ones).

The product of its digits is 2275983360, while the sum is 72.

Subtracting 4674837384765 from its reverse (5674837384764), we obtain a palindrome (999999999999).

The spelling of 4674837384765 in words is "four trillion, six hundred seventy-four billion, eight hundred thirty-seven million, three hundred eighty-four thousand, seven hundred sixty-five".

Divisors: 1 3 5 9 15 37 45 111 185 333 555 1665 50101 56041 150303 168123 250505 280205 450909 504369 751515 840615 1853737 2073517 2254545 2521845 5561211 6220551 9268685 10367585 16683633 18661653 27806055 31102755 83418165 93308265 2807710141 8423130423 14038550705 25269391269 42115652115 103885275217 126346956345 311655825651 519426376085 934967476953 1558279128255 4674837384765