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2981664056811 = 3112943597316823
BaseRepresentation
bin101011011000111001000…
…001101110010111101011
3101120001012021221212000010
4223120321001232113223
5342322421444304221
610201431344343003
7425263262211546
oct53307101562753
911501167855003
102981664056811
11a4a5756a0220
12401a49314a63
13188228b2868b
14a4455a1b85d
155285eb2bc76
hex2b63906e5eb

2981664056811 has 128 divisors (see below), whose sum is σ = 4732900761600. Its totient is φ = 1652248765440.

The previous prime is 2981664056809. The next prime is 2981664056851. The reversal of 2981664056811 is 1186504661892.

It is a happy number.

It is not a de Polignac number, because 2981664056811 - 21 = 2981664056809 is a prime.

It is not an unprimeable number, because it can be changed into a prime (2981664056851) 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, 177228946 + ... + 177245768.

It is an arithmetic number, because the mean of its divisors is an integer number (36975787200).

Almost surely, 22981664056811 is an apocalyptic number.

2981664056811 is a deficient number, since it is larger than the sum of its proper divisors (1751236704789).

2981664056811 is a wasteful number, since it uses less digits than its factorization.

2981664056811 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17041.

The product of its (nonzero) digits is 4976640, while the sum is 57.

The spelling of 2981664056811 in words is "two trillion, nine hundred eighty-one billion, six hundred sixty-four million, fifty-six thousand, eight hundred eleven".

Divisors: 1 3 11 29 33 43 59 73 87 129 177 219 319 473 649 803 957 1247 1419 1711 1947 2117 2409 2537 3139 3741 4307 5133 6351 7611 9417 12921 13717 16823 18821 23287 27907 34529 41151 47377 50469 56463 69861 73573 83721 91031 103587 124903 142131 185053 185201 220719 273093 374709 487867 555159 555603 723389 809303 992557 1001341 1228079 1373933 1463601 2037211 2170167 2427909 2977671 3004023 3684237 4121799 5366537 5370829 6111633 7957279 10918127 13508869 16099611 16112487 20978281 23871837 28784153 32754381 35614291 40526607 42679951 52807397 59079119 62934843 72456661 86352459 106842873 128039853 158422191 177237357 217369983 230761091 316625683 391757201 469479461 580881367 692283273 797023271 949877049 1175271603 1237718579 1408438383 1531414513 1742644101 2101243169 2391069813 3115636423 3713155737 4594243539 6303729507 9346909269 13614904369 16845559643 23113674859 34272000653 40844713107 50536678929 69341024577 90353456267 102816001959 271060368801 993888018937 2981664056811