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16630939521 = 3472232892
BaseRepresentation
bin11110111110100011…
…11111111110000001
31120221001001021010000
433133101333332001
5233030010031041
611350134430213
71126062440100
oct173721777601
946831037100
1016630939521
117064806019
123281802369
1317506c5621
14b3aa90037
156750c5bb6
hex3df47ff81

16630939521 has 135 divisors (see below), whose sum is σ = 30554282451. Its totient is φ = 8988065856.

The previous prime is 16630939477. The next prime is 16630939541. The reversal of 16630939521 is 12593903661.

The square root of 16630939521 is 128961.

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

16630939521 is a `hidden beast` number, since 1 + 6 + 6 + 30 + 93 + 9 + 521 = 666.

It can be written as a sum of positive squares in only one way, i.e., 3193493121 + 13437446400 = 56511^2 + 115920^2 .

It is not a de Polignac number, because 16630939521 - 233 = 8041004929 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16630939541) 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 134 ways as a sum of consecutive naturals, for example, 186864445 + ... + 186864533.

Almost surely, 216630939521 is an apocalyptic number.

16630939521 is the 128961-st square number.

16630939521 is the 64481-st centered octagonal number.

It is an amenable number.

16630939521 is a deficient number, since it is larger than the sum of its proper divisors (13923342930).

16630939521 is an frugal number, since it uses more digits than its factorization.

16630939521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 262440, while the sum is 45.

The spelling of 16630939521 in words is "sixteen billion, six hundred thirty million, nine hundred thirty-nine thousand, five hundred twenty-one".

Divisors: 1 3 7 9 21 23 27 49 63 69 81 89 147 161 189 207 267 441 483 529 567 621 623 801 1127 1323 1449 1587 1863 1869 2047 2403 3381 3703 3969 4347 4361 4761 5607 6141 7209 7921 10143 11109 13041 13083 14283 14329 16821 18423 23763 25921 30429 33327 39249 42849 42987 47081 50463 55269 55447 71289 77763 91287 99981 100303 117747 128961 141243 165807 166341 182183 213867 233289 299943 300909 329567 353241 386883 388129 423729 499023 546549 641601 699867 902727 988701 1160649 1164387 1271187 1275281 1497069 1639647 2099601 2306969 2708181 2966103 3493161 3813561 3825843 4190209 4491207 4918941 6920907 8124543 8898309 8926967 10479483 11477529 12570627 14756823 20762721 26694927 26780901 29331463 31438449 34432587 37711881 62288163 80342703 87994389 103297761 113135643 186864489 205320241 241028109 263983167 339406929 615960723 723084327 791949501 1847882169 2375848503 5543646507 16630939521