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4121788275 = 345211199739
BaseRepresentation
bin1111010110101101…
…0111111101110011
3101122020212112120000
43311223113331303
531420134211100
61521000121043
7204066423303
oct36553277563
911566775500
104121788275
1118257075a0
12970466183
13508c23597
142b15b7603
15191cd0900
hexf5ad7f73

4121788275 has 120 divisors (see below), whose sum is σ = 8768337600. Its totient is φ = 1893067200.

The previous prime is 4121788273. The next prime is 4121788367. The reversal of 4121788275 is 5728871214.

4121788275 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 4121788275 - 21 = 4121788273 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4121788275.

It is not an unprimeable number, because it can be changed into a prime (4121788273) 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 119 ways as a sum of consecutive naturals, for example, 418356 + ... + 428094.

It is an arithmetic number, because the mean of its divisors is an integer number (73069480).

Almost surely, 24121788275 is an apocalyptic number.

4121788275 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

4121788275 is an abundant number, since it is smaller than the sum of its proper divisors (4646549325).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

4121788275 is a wasteful number, since it uses less digits than its factorization.

4121788275 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9791 (or 9777 counting only the distinct ones).

The product of its digits is 250880, while the sum is 45.

The square root of 4121788275 is about 64201.1547793340. The cubic root of 4121788275 is about 1603.3508258871.

The spelling of 4121788275 in words is "four billion, one hundred twenty-one million, seven hundred eighty-eight thousand, two hundred seventy-five".

Divisors: 1 3 5 9 11 15 19 25 27 33 45 55 57 75 81 95 99 135 165 171 209 225 275 285 297 405 475 495 513 627 675 825 855 891 1045 1425 1485 1539 1881 2025 2475 2565 3135 4275 4455 5225 5643 7425 7695 9405 9739 12825 15675 16929 22275 28215 29217 38475 47025 48695 84645 87651 107129 141075 146085 185041 243475 262953 321387 423225 438255 535645 555123 730425 788859 925205 964161 1314765 1606935 1665369 2035451 2191275 2678225 2775615 2892483 3944295 4626025 4820805 4996107 6106353 6573825 8034675 8326845 8677449 10177255 13878075 14462415 14988321 18319059 19721475 24104025 24980535 30531765 41634225 43387245 50886275 54957177 72312075 74941605 91595295 124902675 152658825 164871531 216936225 274785885 374708025 457976475 824357655 1373929425 4121788275