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16423818022161 = 3211222725412
BaseRepresentation
bin1110111011111111011111…
…0101101100110100010001
32011011002202010011001202100
43232333313311230310101
54123041434403202121
654532555311111013
73313403343533364
oct356776765546421
964132663131670
1016423818022161
115262336118400
121a13067512469
139219b4508794
1440acba4aa0db
151d734b81b026
hexeeff7d6cd11

16423818022161 has 81 divisors (see below), whose sum is σ = 26239896720219. Its totient is φ = 9891661744800.

The previous prime is 16423818022159. The next prime is 16423818022163. The reversal of 16423818022161 is 16122081832461.

The square root of 16423818022161 is 4052631.

It is a perfect power (a square), and thus also a powerful number.

16423818022161 is a `hidden beast` number, since 1 + 6 + 42 + 381 + 8 + 0 + 221 + 6 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (16423818022159) and next prime (16423818022163).

It can be written as a sum of positive squares in only one way, i.e., 6525117733761 + 9898700288400 = 2554431^2 + 3146220^2 .

It is not a de Polignac number, because 16423818022161 - 21 = 16423818022159 is a prime.

It is not an unprimeable number, because it can be changed into a prime (16423818022163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 30358258551 + ... + 30358259091.

Almost surely, 216423818022161 is an apocalyptic number.

16423818022161 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

16423818022161 is the 4052631-st square number.

16423818022161 is the 2026316-th centered octagonal number.

It is an amenable number.

16423818022161 is a deficient number, since it is larger than the sum of its proper divisors (9816078698058).

16423818022161 is an frugal number, since it uses more digits than its factorization.

16423818022161 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1564 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 16423818022161 in words is "sixteen trillion, four hundred twenty-three billion, eight hundred eighteen million, twenty-two thousand, one hundred sixty-one".

Divisors: 1 3 9 11 33 99 121 227 363 541 681 1089 1623 2043 2497 4869 5951 7491 17853 22473 27467 51529 53559 65461 82401 122807 154587 196383 247203 292681 368421 463761 566819 589149 878043 1105263 1350877 1700457 2634129 3219491 4052631 5101371 6235009 9658473 12157893 14859647 18705027 27877189 28975419 35414401 44578941 56115081 66438587 83631567 106243203 133736823 199315761 250894701 306649079 318729609 597947283 730824457 919947237 2192473371 2759841711 3373139869 6577420113 8039069027 10119419607 15081559249 24117207081 30358258821 45244677747 72351621243 135734033241 165897151739 497691455217 1493074365651 1824868669129 5474606007387 16423818022161