Search a number
-
+
216456328647 = 33134759222389
BaseRepresentation
bin1100100110010111001…
…1010111010111000111
3202200201012202210112000
43021211303113113013
512021300310004042
6243234430200343
721431663302356
oct3114563272707
9680635683460
10216456328647
1183886a55509
1235b4a9530b3
13175477a9850
14a6958bb99d
15596d05874c
hex3265cd75c7

216456328647 has 64 divisors (see below), whose sum is σ = 358670592000. Its totient is φ = 128159535744.

The previous prime is 216456328577. The next prime is 216456328681. The reversal of 216456328647 is 746823654612.

216456328647 is a `hidden beast` number, since 2 + 16 + 4 + 563 + 2 + 8 + 64 + 7 = 666.

It is not a de Polignac number, because 216456328647 - 212 = 216456324551 is a prime.

It is a super-2 number, since 2×2164563286472 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 216456328593 and 216456328602.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (216456398647) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 862129 + ... + 1084517.

It is an arithmetic number, because the mean of its divisors is an integer number (5604228000).

Almost surely, 2216456328647 is an apocalyptic number.

216456328647 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

216456328647 is a deficient number, since it is larger than the sum of its proper divisors (142214263353).

216456328647 is a wasteful number, since it uses less digits than its factorization.

216456328647 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222517 (or 222511 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 54.

The spelling of 216456328647 in words is "two hundred sixteen billion, four hundred fifty-six million, three hundred twenty-eight thousand, six hundred forty-seven".

Divisors: 1 3 9 13 27 39 47 59 117 141 177 351 423 531 611 767 1269 1593 1833 2301 2773 5499 6903 8319 16497 20709 24957 36049 74871 108147 222389 324441 667167 973323 2001501 2891057 6004503 8673171 10452283 13120951 26019513 31356849 39362853 78058539 94070547 118088559 135879679 170572363 282211641 354265677 407639037 511717089 616684697 1222917111 1535151267 1850054091 3668751333 4605453801 5550162273 8016901061 16650486819 24050703183 72152109549 216456328647