Search a number
-
+
396828023265 = 335197910319013
BaseRepresentation
bin1011100011001001100…
…10110001100111100001
31101221021121221020221000
411301210302301213201
523000200433221030
6502144505422213
740445524354302
oct5614462614741
91357247836830
10396828023265
1114332608a323
1264aa8a9a969
132b561431b2b
14152c6bd07a9
15a4c81d3860
hex5c64cb19e1

396828023265 has 128 divisors (see below), whose sum is σ = 759343104000. Its totient is φ = 196032275712.

The previous prime is 396828023261. The next prime is 396828023269. The reversal of 396828023265 is 562320828693.

396828023265 is a `hidden beast` number, since 39 + 6 + 8 + 280 + 2 + 326 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (396828023261) and next prime (396828023269).

It is not a de Polignac number, because 396828023265 - 22 = 396828023261 is a prime.

It is not an unprimeable number, because it can be changed into a prime (396828023261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 20861899 + ... + 20880911.

It is an arithmetic number, because the mean of its divisors is an integer number (5932368000).

Almost surely, 2396828023265 is an apocalyptic number.

It is an amenable number.

396828023265 is a deficient number, since it is larger than the sum of its proper divisors (362515080735).

396828023265 is a wasteful number, since it uses less digits than its factorization.

396828023265 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19228 (or 19222 counting only the distinct ones).

The product of its (nonzero) digits is 7464960, while the sum is 54.

The spelling of 396828023265 in words is "three hundred ninety-six billion, eight hundred twenty-eight million, twenty-three thousand, two hundred sixty-five".

Divisors: 1 3 5 9 15 19 27 45 57 79 95 103 135 171 237 285 309 395 513 515 711 855 927 1185 1501 1545 1957 2133 2565 2781 3555 4503 4635 5871 7505 8137 9785 10665 13509 13905 17613 19013 22515 24411 29355 40527 40685 52839 57039 67545 73233 88065 95065 122055 154603 171117 202635 219699 264195 285195 361247 366165 463809 513351 773015 855585 1083741 1098495 1391427 1502027 1806235 1958339 2319045 2566755 3251223 4174281 4506081 5418705 5875017 6957135 7510135 9753669 9791695 13518243 16256115 17625051 20871405 22530405 28538513 29375085 37208441 40554729 48768345 52875153 67591215 85615539 88125255 111625323 142692565 154708781 186042205 202773645 256846617 264375765 334875969 428077695 464126343 558126615 770539851 773543905 1004627907 1284233085 1392379029 1674379845 2320631715 2939466839 3852699255 4177137087 5023139535 6961895145 8818400517 14697334195 20885685435 26455201551 44092002585 79365604653 132276007755 396828023265