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2027129555529 = 341324322832
BaseRepresentation
bin11101011111111010010…
…101100100101001001001
321011210101010220001210000
4131133322111210221021
5231203030131234104
64151130033313213
7266312105631111
oct35377225445111
97153333801700
102027129555529
11711778872461
12288a55705809
13119208036300
14701839b8041
1537ae4b04639
hex1d7fa564a49

2027129555529 has 135 divisors (see below), whose sum is σ = 3368970848727. Its totient is φ = 1214148053664.

The previous prime is 2027129555509. The next prime is 2027129555537. The reversal of 2027129555529 is 9255559217202.

The square root of 2027129555529 is 1423773.

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

2027129555529 is a `hidden beast` number, since 2 + 0 + 27 + 1 + 2 + 95 + 5 + 5 + 529 = 666.

It can be written as a sum of positive squares in only one way, i.e., 299871236025 + 1727258319504 = 547605^2 + 1314252^2 .

It is not a de Polignac number, because 2027129555529 - 27 = 2027129555401 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2027129555509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 7163001822 + ... + 7163002104.

Almost surely, 22027129555529 is an apocalyptic number.

2027129555529 is the 1423773-rd square number.

2027129555529 is the 711887-th centered octagonal number.

It is an amenable number.

2027129555529 is a deficient number, since it is larger than the sum of its proper divisors (1341841293198).

2027129555529 is an frugal number, since it uses more digits than its factorization.

2027129555529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 690 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 5670000, while the sum is 54.

The spelling of 2027129555529 in words is "two trillion, twenty-seven billion, one hundred twenty-nine million, five hundred fifty-five thousand, five hundred twenty-nine".

Divisors: 1 3 9 13 27 39 43 81 117 129 169 283 351 387 507 559 849 1053 1161 1521 1677 1849 2547 3483 3679 4563 5031 5547 7267 7641 11037 12169 13689 15093 16641 21801 22923 24037 33111 36507 45279 47827 49923 65403 72111 80089 99333 109521 143481 149769 158197 196209 216333 240267 297999 312481 328563 430443 474591 523267 588627 648999 720801 937443 985689 1041157 1291329 1423773 1569801 1946997 2056561 2162403 2812329 3123471 3443827 3873987 4271319 4709403 6169683 6487209 6802471 8436987 9370413 10331481 12813957 13535041 14128209 18509049 20407413 25310961 28111239 30994443 40605123 42384627 44769751 55527147 61222239 84333717 88432123 92983329 121815369 134309253 148084561 166581441 183666717 265296369 278949987 365446107 402927759 444253683 551000151 582006763 795889107 1096338321 1208783277 1332761049 1746020289 1925099293 2387667321 3626349831 3998283147 5238060867 5775297879 7163001963 11994849441 15714182601 17325893637 25026290809 47142547803 51977680911 75078872427 155933042733 225236617281 675709851843 2027129555529