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16430251164201 = 32723161101195071
BaseRepresentation
bin1110111100010111011101…
…0010001100001000101001
32011011201100110020112121100
43233011313102030020221
54123143123244223301
654535541515432013
73314021640406500
oct357056722141051
964151313215540
1016430251164201
1152650374a0216
121a14361a55609
1392249b24acc4
1440b32aa29837
151d75c64b2286
hexef17748c229

16430251164201 has 144 divisors (see below), whose sum is σ = 29251960897536. Its totient is φ = 8848375200000.

The previous prime is 16430251164181. The next prime is 16430251164289. The reversal of 16430251164201 is 10246115203461.

16430251164201 is a `hidden beast` number, since 1 + 6 + 4 + 3 + 0 + 2 + 5 + 1 + 1 + 642 + 0 + 1 = 666.

16430251164201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 16430251164201 - 215 = 16430251131433 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (16430251164001) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 84129496 + ... + 84324566.

It is an arithmetic number, because the mean of its divisors is an integer number (203138617344).

Almost surely, 216430251164201 is an apocalyptic number.

It is an amenable number.

16430251164201 is a deficient number, since it is larger than the sum of its proper divisors (12821709733335).

16430251164201 is a wasteful number, since it uses less digits than its factorization.

16430251164201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195284 (or 195274 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

Adding to 16430251164201 its reverse (10246115203461), we get a palindrome (26676366367662).

The spelling of 16430251164201 in words is "sixteen trillion, four hundred thirty billion, two hundred fifty-one million, one hundred sixty-four thousand, two hundred one".

Divisors: 1 3 7 9 21 31 49 61 63 93 101 147 183 217 279 303 427 441 549 651 707 909 1281 1519 1891 1953 2121 2989 3131 3843 4557 4949 5673 6161 6363 8967 9393 13237 13671 14847 17019 18483 21917 26901 28179 39711 43127 44541 55449 65751 92659 119133 129381 153419 190991 195071 197253 277977 301889 388143 460257 572973 585213 833931 905667 1336937 1365497 1380771 1718919 1755639 2717001 4010811 4096491 6047201 9358559 9558479 11899331 12032433 12289473 18141603 19702171 28075677 28675437 35697993 42330407 54424809 59106513 83295317 84227031 86026311 107093979 126991221 137915197 177319539 249885951 296312849 368879261 380973663 413745591 583067219 610767301 749657853 888938547 965406379 1106637783 1201832431 1241236773 1749201657 1832301903 2582154827 2666815641 2896219137 3319913349 3605497293 4275371107 5247604971 5496905709 7746464481 8412827017 8688657411 10816491879 12826113321 18075083789 23239393443 25238481051 29927597749 37256805361 38478339963 54225251367 58889789119 75715443153 89782793247 111770416083 162675754101 176669367357 260797637527 269348379741 335311248249 530008102071 782392912581 1825583462689 2347178737743 5476750388067 16430251164201