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22046681330163 = 3372371641111439
BaseRepresentation
bin1010000001101001001001…
…00110111111000111110011
32220001122100010110122002000
411000310210212333013303
510342203100410031123
6114520034450025043
74433551213211310
oct500644446770763
986048303418060
1022046681330163
11702aa43945126
122580964b78183
13c3bcbab99959
145630ca7a1d07
152837411b8b43
hex140d249bf1f3

22046681330163 has 128 divisors (see below), whose sum is σ = 39561235660800. Its totient is φ = 11861995622400.

The previous prime is 22046681330153. The next prime is 22046681330189. The reversal of 22046681330163 is 36103318664022.

22046681330163 is a `hidden beast` number, since 2 + 20 + 4 + 66 + 81 + 330 + 163 = 666.

It is not a de Polignac number, because 22046681330163 - 210 = 22046681329139 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22046681330153) 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, 197780598 + ... + 197892036.

It is an arithmetic number, because the mean of its divisors is an integer number (309072153600).

Almost surely, 222046681330163 is an apocalyptic number.

22046681330163 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

22046681330163 is a deficient number, since it is larger than the sum of its proper divisors (17514554330637).

22046681330163 is a wasteful number, since it uses less digits than its factorization.

22046681330163 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112190 (or 112184 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

Adding to 22046681330163 its reverse (36103318664022), we get a palindrome (58149999994185).

The spelling of 22046681330163 in words is "twenty-two trillion, forty-six billion, six hundred eighty-one million, three hundred thirty thousand, one hundred sixty-three".

Divisors: 1 3 7 9 21 23 27 63 69 71 161 189 207 213 483 497 621 639 641 1449 1491 1633 1917 1923 4347 4473 4487 4899 5769 11431 13419 13461 14697 14743 17307 34293 40383 44091 44229 45511 102879 103201 111439 121149 132687 136533 308637 309603 318577 334317 398061 409599 780073 928809 955731 1002951 1046753 1228797 2340219 2563097 2786427 2867193 3008853 3140259 7020657 7327271 7689291 7912169 8601579 9420777 17941679 21061971 21981813 23067873 23736507 28262331 53825037 55385183 65945439 69203619 71209521 71432399 161475111 166155549 181979887 197836317 213628563 214297197 484425333 498466647 500026793 545939661 642891591 1273859209 1495399941 1500080379 1637818983 1642945177 1928674773 3821577627 4500241137 4913456949 4928835531 5071700329 11464732881 11500616239 13500723411 14786506593 15215100987 34394198643 34501848717 35501902303 44359519779 45645302961 103505546151 106505706909 116649107567 136935908883 310516638453 319517120727 349947322701 816543752969 958551362181 1049841968103 2449631258907 3149525904309 7348893776721 22046681330163