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818914041 = 3211194759157
BaseRepresentation
bin110000110011111…
…010001011111001
32010001221010212200
4300303322023321
53134120222131
6213132100413
726202440331
oct6063721371
92101833780
10818914041
1139028a270
121aa304709
13100875c2a
147aa900c1
154bd612e6
hex30cfa2f9

818914041 has 96 divisors (see below), whose sum is σ = 1419724800. Its totient is φ = 449504640.

The previous prime is 818914013. The next prime is 818914043. The reversal of 818914041 is 140419818.

It is not a de Polignac number, because 818914041 - 214 = 818897657 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 818913987 and 818914005.

It is not an unprimeable number, because it can be changed into a prime (818914043) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5215935 + ... + 5216091.

It is an arithmetic number, because the mean of its divisors is an integer number (14788800).

Almost surely, 2818914041 is an apocalyptic number.

It is an amenable number.

818914041 is a deficient number, since it is larger than the sum of its proper divisors (600810759).

818914041 is a wasteful number, since it uses less digits than its factorization.

818914041 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 299 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The square root of 818914041 is about 28616.6741778286. The cubic root of 818914041 is about 935.5767899652.

The spelling of 818914041 in words is "eight hundred eighteen million, nine hundred fourteen thousand, forty-one".

Divisors: 1 3 9 11 19 33 47 57 59 99 141 157 171 177 209 423 471 517 531 627 649 893 1121 1413 1551 1727 1881 1947 2679 2773 2983 3363 4653 5181 5841 7379 8037 8319 8949 9263 9823 10089 12331 15543 22137 24957 26847 27789 29469 30503 32813 36993 52687 66411 81169 83367 88407 91509 98439 101893 110979 140201 158061 175997 243507 274527 295317 305679 420603 435361 474183 527991 579557 730521 917037 1261809 1306083 1542211 1583973 1738671 1935967 3918249 4626633 4788971 5216013 5807901 8271859 13879899 14366913 17423703 24815577 43100739 74446731 90990449 272971347 818914041