Search a number
-
+
20127272258849 = 71723431736191597
BaseRepresentation
bin1001001001110001111101…
…11010011100110100100001
32122021011000012200010212112
410210320332322130310201
510114231123144240344
6110450201412205105
74145101366253060
oct444707672346441
978234005603775
1020127272258849
11645aa23522938
122310972909795
13b2ccbc00b042
144d82453521d7
1524d8534d4c9e
hex124e3ee9cd21

20127272258849 has 128 divisors (see below), whose sum is σ = 26214653583360. Its totient is φ = 15048493092864.

The previous prime is 20127272258833. The next prime is 20127272258903. The reversal of 20127272258849 is 94885227272102.

It is not a de Polignac number, because 20127272258849 - 24 = 20127272258833 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (20127272254849) 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 127 ways as a sum of consecutive naturals, for example, 12603175319 + ... + 12603176915.

It is an arithmetic number, because the mean of its divisors is an integer number (204801981120).

Almost surely, 220127272258849 is an apocalyptic number.

It is an amenable number.

20127272258849 is a deficient number, since it is larger than the sum of its proper divisors (6087381324511).

20127272258849 is a wasteful number, since it uses less digits than its factorization.

20127272258849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2479.

The product of its (nonzero) digits is 18063360, while the sum is 59.

The spelling of 20127272258849 in words is "twenty trillion, one hundred twenty-seven billion, two hundred seventy-two million, two hundred fifty-eight thousand, eight hundred forty-nine".

Divisors: 1 7 17 23 43 119 161 173 301 391 619 731 989 1211 1597 2737 2941 3979 4333 5117 6923 7439 10523 11179 14237 16813 20587 26617 27149 27853 36731 52073 67643 68671 73661 99659 107087 117691 126463 171097 186319 190043 242029 257117 276281 452489 473501 480697 612191 624427 749609 885241 988543 1167407 1197679 1579433 1694203 1820479 1933967 2463001 2908649 3167423 4285337 4370989 4604741 4696777 6354463 6919801 8171849 10407247 11056031 11880083 12743353 16805231 17241007 20360543 22736489 26850361 32233187 32877439 41871017 42507349 44481241 72850729 78280597 83160581 105909043 108025871 117636617 159155423 171017939 187952527 201961411 273241909 293097119 297551443 386520313 547964179 722624933 741363301 756181097 977669027 1197125573 1413729877 1800453731 1912693363 2705642191 2907304963 3933412597 4645112453 5058374531 6843683189 7353771377 12603176117 16620373459 20351134741 27533888179 32515787171 51476399639 66868014149 116342614213 125014113409 169136741671 468076099043 875098793863 1183957191697 2875324608407 20127272258849