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16169253252201 = 34728327692
BaseRepresentation
bin1110101101001011001010…
…0110001010110001101001
32010020202200001121212110000
43223102302212022301221
54104404112313032301
654220015152413213
73256122111641400
oct353226246126151
963222601555400
1016169253252201
115174383a249a5
121991862247209
139039a5815c9a
143dc84b72c637
151d08ecdbc786
hexeb4b298ac69

16169253252201 has 135 divisors (see below), whose sum is σ = 28477226506311. Its totient is φ = 9116382836736.

The previous prime is 16169253252151. The next prime is 16169253252277. The reversal of 16169253252201 is 10225235296161.

The square root of 16169253252201 is 4021101.

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

16169253252201 is a `hidden beast` number, since 1 + 6 + 1 + 6 + 92 + 5 + 32 + 522 + 0 + 1 = 666.

16169253252201 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 6325974492201 + 9843278760000 = 2515149^2 + 3137400^2 .

It is a de Polignac number, because none of the positive numbers 2k-16169253252201 is a prime.

It is a super-2 number, since 2×161692532522012 (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16169253252001) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 21026336745 + ... + 21026337513.

Almost surely, 216169253252201 is an apocalyptic number.

16169253252201 is the 4021101-st square number.

16169253252201 is the 2010551-st centered octagonal number.

It is an amenable number.

16169253252201 is a deficient number, since it is larger than the sum of its proper divisors (12307973254110).

16169253252201 is an frugal number, since it uses more digits than its factorization.

16169253252201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1730 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 16169253252201 in words is "sixteen trillion, one hundred sixty-nine billion, two hundred fifty-three million, two hundred fifty-two thousand, two hundred one".

Divisors: 1 3 7 9 21 27 49 63 81 83 147 189 249 441 567 581 747 769 1323 1743 2241 2307 3969 4067 5229 5383 6723 6889 6921 12201 15687 16149 20667 20763 36603 37681 47061 48223 48447 62001 62289 63827 109809 113043 144669 145341 186003 191481 329427 337561 339129 434007 436023 446789 558009 574443 591361 1012683 1017387 1302021 1340367 1723329 1774083 3038049 3052161 3127523 3906063 4021101 4139527 5169987 5297641 5322249 9114147 9382569 12063303 12418581 15892923 15966747 27342441 28147707 28976689 36189909 37083487 37255743 47678769 47900241 49082963 84443121 86930067 111250461 111767229 143036307 147248889 253329363 259584409 260790201 333751383 335301687 343580741 429108921 441746667 778753227 782370603 1001254149 1030742223 1325240001 2336259681 2347111809 2405065187 3003762447 3092226669 3975720003 4073885929 7008779043 7215195561 9276680007 12221657787 21026337129 21645586683 27830040021 28517201503 36664973361 64936760049 85551604509 109994920083 194810280147 199620410521 256654813527 329984760249 598861231563 769964440581 1796583694689 2309893321743 5389751084067 16169253252201