Search a number
-
+
272444271255 = 33513436016007
BaseRepresentation
bin1111110110111011110…
…0011010101010010111
3222001020002221222012000
43331232330122222113
513430431213140010
6325054214130343
725453265044632
oct3755674325227
9861202858160
10272444271255
11a55a7763462
12449750509b3
131c8cac83180
14d28759cc19
1571484537c0
hex3f6ef1aa97

272444271255 has 128 divisors (see below), whose sum is σ = 534710077440. Its totient is φ = 130767436800.

The previous prime is 272444271233. The next prime is 272444271257. The reversal of 272444271255 is 552172444272.

It is not a de Polignac number, because 272444271255 - 25 = 272444271223 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

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 272444271255.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272444271257) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 45351462 + ... + 45357468.

It is an arithmetic number, because the mean of its divisors is an integer number (4177422480).

Almost surely, 2272444271255 is an apocalyptic number.

272444271255 is a deficient number, since it is larger than the sum of its proper divisors (262265806185).

272444271255 is a wasteful number, since it uses less digits than its factorization.

272444271255 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6678 (or 6672 counting only the distinct ones).

The product of its digits is 1254400, while the sum is 45.

The spelling of 272444271255 in words is "two hundred seventy-two billion, four hundred forty-four million, two hundred seventy-one thousand, two hundred fifty-five".

Divisors: 1 3 5 9 13 15 27 39 43 45 65 117 129 135 195 215 351 387 559 585 601 645 1161 1677 1755 1803 1935 2795 3005 5031 5409 5805 6007 7813 8385 9015 15093 16227 18021 23439 25155 25843 27045 30035 39065 54063 70317 75465 77529 78091 81135 90105 117195 129215 162189 210951 232587 234273 258301 270315 335959 351585 387645 390455 697761 702819 774903 810945 1007877 1054755 1162935 1171365 1291505 1679795 2108457 2324709 3023631 3357913 3488805 3514095 3610207 3874515 5039385 6974127 9070893 10073739 10542285 10830621 11623545 15118155 16789565 18051035 30221217 32491863 34870635 45354465 46932691 50368695 54153105 90663651 97475589 140798073 151106085 155238901 162459315 234663455 422394219 453318255 465716703 487377945 703990365 776194505 1267182657 1397150109 2018105713 2111971095 2328583515 4191450327 6054317139 6335913285 6985750545 10090528565 18162951417 20957251635 30271585695 54488854251 90814757085 272444271255