Search a number
-
+
272483668917 = 32131523647683
BaseRepresentation
bin1111110111000101001…
…0101101001110110101
3222001022212002120121200
43331301102231032311
513431021304401132
6325102142403113
725454253653625
oct3756122551665
9861285076550
10272483668917
11a5617a22509
1244986290499
131c9061987b5
14d28c8d6885
15714bb36d7c
hex3f714ad3b5

272483668917 has 48 divisors (see below), whose sum is σ = 398547122688. Its totient is φ = 179383295520.

The previous prime is 272483668883. The next prime is 272483668931. The reversal of 272483668917 is 719866384272.

272483668917 is a `hidden beast` number, since 2 + 7 + 2 + 483 + 6 + 68 + 91 + 7 = 666.

It is not a de Polignac number, because 272483668917 - 27 = 272483668789 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (272483668957) 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 47 ways as a sum of consecutive naturals, for example, 398950858 + ... + 398951540.

It is an arithmetic number, because the mean of its divisors is an integer number (8303065056).

Almost surely, 2272483668917 is an apocalyptic number.

It is an amenable number.

272483668917 is a deficient number, since it is larger than the sum of its proper divisors (126063453771).

272483668917 is a wasteful number, since it uses less digits than its factorization.

272483668917 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1990 (or 1987 counting only the distinct ones).

The product of its digits is 48771072, while the sum is 63.

The spelling of 272483668917 in words is "two hundred seventy-two billion, four hundred eighty-three million, six hundred sixty-eight thousand, nine hundred seventeen".

Divisors: 1 3 9 131 393 523 647 683 1179 1569 1941 2049 4707 5823 6147 68513 84757 89473 205539 254271 268419 338381 357209 441901 616617 762813 805257 1015143 1071627 1325703 3045429 3214881 3977109 44327911 46794379 57889031 132983733 140383137 173667093 231114223 398951199 421149411 521001279 693342669 2080028007 30275963213 90827889639 272483668917