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1297427068530 = 234553142921149
BaseRepresentation
bin10010111000010100101…
…011011111011001110010
311121000212220220222210000
4102320110223133121302
5132224112312143110
62432010232450430
7162510311056425
oct22702453373162
94530786828700
101297427068530
1146026583574a
1218b549849a16
1395468041098
1446b1d9919bc
1523b380e01c0
hex12e14adf672

1297427068530 has 160 divisors (see below), whose sum is σ = 3557116134000. Its totient is φ = 339199031808.

The previous prime is 1297427068519. The next prime is 1297427068537. The reversal of 1297427068530 is 358607247921.

It is a happy number.

1297427068530 is a `hidden beast` number, since 1 + 2 + 9 + 7 + 42 + 7 + 0 + 68 + 530 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 140978471841 + 1156448596689 = 375471^2 + 1075383^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (1297427068537) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 61336396 + ... + 61357544.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1297427068530 = 2594854137060, but 3⋅1297427068530 = 3892281205590 is not.

Almost surely, 21297427068530 is an apocalyptic number.

1297427068530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1297427068530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1778558067000).

1297427068530 is an abundant number, since it is smaller than the sum of its proper divisors (2259689065470).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1297427068530 is a wasteful number, since it uses less digits than its factorization.

1297427068530 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22650 (or 22641 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 1297427068530 in words is "one trillion, two hundred ninety-seven billion, four hundred twenty-seven million, sixty-eight thousand, five hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 27 30 45 53 54 81 90 106 135 159 162 265 270 318 405 477 530 795 810 954 1429 1431 1590 2385 2858 2862 4287 4293 4770 7145 7155 8574 8586 12861 14290 14310 21149 21435 21465 25722 38583 42298 42870 42930 63447 64305 75737 77166 105745 115749 126894 128610 151474 190341 192915 211490 227211 231498 317235 378685 380682 385830 454422 571023 578745 634470 681633 757370 951705 1120897 1136055 1142046 1157490 1363266 1713069 1903410 2044899 2241794 2272110 2855115 3362691 3408165 3426138 4089798 5604485 5710230 6134697 6725382 6816330 8565345 10088073 10224495 11208970 12269394 16813455 17130690 20176146 20448990 30221921 30264219 30673485 33626910 50440365 60443842 60528438 61346970 90665763 90792657 100880730 151109605 151321095 181331526 181585314 271997289 302219210 302642190 453328815 453963285 543994578 815991867 906657630 907926570 1359986445 1601761813 1631983734 2447975601 2719972890 3203523626 4079959335 4805285439 4895951202 8008809065 8159918670 9610570878 12239878005 14415856317 16017618130 24026427195 24479756010 28831712634 43247568951 48052854390 72079281585 86495137902 129742706853 144158563170 216237844755 259485413706 432475689510 648713534265 1297427068530