Search a number
-
+
128653494489 = 321321725412
BaseRepresentation
bin111011111010001011…
…0001000100011011001
3110022002002020200022100
41313310112020203121
54101440243310424
6135034054514013
712203103442212
oct1676426104331
9408062220270
10128653494489
114a61a5a8663
1220b25965909
13c193c35c00
146326720409
15352ea38dc9
hex1df45888d9

128653494489 has 81 divisors (see below), whose sum is σ = 214156297719. Its totient is φ = 74376506880.

The previous prime is 128653494467. The next prime is 128653494511. The reversal of 128653494489 is 984494356821.

The square root of 128653494489 is 358683.

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

128653494489 is a `hidden beast` number, since 1 + 2 + 8 + 6 + 534 + 94 + 4 + 8 + 9 = 666.

It is an interprime number because it is at equal distance from previous prime (128653494467) and next prime (128653494511).

It can be written as a sum of positive squares in 13 ways, for example, as 89211534489 + 39441960000 = 298683^2 + 198600^2 .

It is not a de Polignac number, because 128653494489 - 211 = 128653492441 is a prime.

It is a super-2 number, since 2×1286534944892 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (128653494589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 237806559 + ... + 237807099.

Almost surely, 2128653494489 is an apocalyptic number.

128653494489 is the 358683-rd square number.

128653494489 is the 179342-nd centered octagonal number.

It is an amenable number.

128653494489 is a deficient number, since it is larger than the sum of its proper divisors (85502803230).

128653494489 is an equidigital number, since it uses as much as digits as its factorization.

128653494489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1148 (or 574 counting only the distinct ones).

The product of its digits is 59719680, while the sum is 63.

The spelling of 128653494489 in words is "one hundred twenty-eight billion, six hundred fifty-three million, four hundred ninety-four thousand, four hundred eighty-nine".

Divisors: 1 3 9 13 17 39 51 117 153 169 221 289 507 541 663 867 1521 1623 1989 2601 2873 3757 4869 7033 8619 9197 11271 21099 25857 27591 33813 48841 63297 82773 91429 119561 146523 156349 274287 292681 358683 439569 469047 822861 878043 1076049 1407141 1554293 2032537 2634129 3804853 4662879 4975577 6097611 11414559 13988637 14926731 18292833 26422981 34243677 44780193 49463089 64682501 79268943 84584809 148389267 194047503 237806829 253754427 445167801 582142509 761263281 840872513 1099602517 2522617539 3298807551 7567852617 9896422653 14294832721 42884498163 128653494489