Search a number
-
+
159214756789089 = 321946121912
BaseRepresentation
bin100100001100111000010011…
…000001010111101101100001
3202212201210010011001212022100
4210030320103001113231201
5131332033310214222324
61322342125522001013
745351613045130451
oct4414702301275541
9685653104055270
10159214756789089
114680466553a651
1215a34a77aa6169
136aabb6c08a621
142b4606cdb7d61
15136181b8524c9
hex90ce13057b61

159214756789089 has 135 divisors (see below), whose sum is σ = 248096967741987. Its totient is φ = 98390374120800.

The previous prime is 159214756789079. The next prime is 159214756789093. The reversal of 159214756789089 is 980987657412951.

The square root of 159214756789089 is 12618033.

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

159214756789089 is a `hidden beast` number, since 1 + 5 + 9 + 2 + 1 + 47 + 567 + 8 + 9 + 0 + 8 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5177367796689 + 154037388992400 = 2275383^2 + 12411180^2 .

It is not a de Polignac number, because 159214756789089 - 219 = 159214756264801 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 159214756788999 and 159214756789017.

It is not an unprimeable number, because it can be changed into a prime (159214756789079) 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, 833585113984 + ... + 833585114174.

Almost surely, 2159214756789089 is an apocalyptic number.

159214756789089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

159214756789089 is the 12618033-rd square number.

159214756789089 is the 6309017-th centered octagonal number.

It is an amenable number.

159214756789089 is a deficient number, since it is larger than the sum of its proper divisors (88882210952898).

159214756789089 is an frugal number, since it uses more digits than its factorization.

159214756789089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 586 (or 274 counting only the distinct ones).

The product of its (nonzero) digits is 2743372800, while the sum is 81.

The spelling of 159214756789089 in words is "one hundred fifty-nine trillion, two hundred fourteen billion, seven hundred fifty-six million, seven hundred eighty-nine thousand, eighty-nine".

Divisors: 1 3 9 19 57 61 171 183 191 361 549 573 1083 1159 1719 3249 3477 3629 3721 6859 10431 10887 11163 11651 20577 22021 32661 33489 34953 36481 61731 66063 68951 70699 104859 109443 130321 198189 206853 212097 221369 328329 390963 418399 620559 636291 664107 693139 710711 1172889 1255197 1310069 1343281 1992321 2079417 2132133 2225341 3765591 3930207 4029843 4206011 6238251 6396399 6676023 7949581 11790621 12089529 12618033 13169641 13503509 20028069 23848743 24891311 25522339 37854099 39508923 40510527 42281479 71546229 74673933 76567017 79914209 118526769 121531581 126844437 135745801 224021799 229701051 239742627 250223179 256566671 380533311 407237403 484924441 719227881 750669537 769700013 803348101 1221712209 1454773323 1518369971 2252008611 2309100039 2410044303 2579170219 4364319969 4555109913 4754240401 4874766749 7230132909 7737510657 13665329739 14262721203 14624300247 15263613919 23212531971 42788163609 43872900741 45790841757 49004234161 92620568231 137372525271 147012702483 277861704693 290008664461 441038107449 833585114079 870025993383 931080449059 2610077980149 2793241347177 8379724041531 17690528532121 53071585596363 159214756789089