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129084274089 = 322324121272
BaseRepresentation
bin111100000111000000…
…1011011010110101001
3110100012002211112211100
41320032001123112221
54103331033232324
6135144523552013
712216554140341
oct1701601332651
9410162745740
10129084274089
114a820786761
122102608b609
13c232263294
146367a17d21
15355777c4c9
hex1e0e05b5a9

129084274089 has 81 divisors (see below), whose sum is σ = 201369720279. Its totient is φ = 79674598080.

The previous prime is 129084274079. The next prime is 129084274103. The reversal of 129084274089 is 980472480921.

The square root of 129084274089 is 359283.

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

129084274089 is a `hidden beast` number, since 1 + 290 + 8 + 4 + 274 + 0 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6220003689 + 122864270400 = 78867^2 + 350520^2 .

It is not a de Polignac number, because 129084274089 - 213 = 129084265897 is a prime.

It is not an unprimeable number, because it can be changed into a prime (129084274049) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1016411544 + ... + 1016411670.

Almost surely, 2129084274089 is an apocalyptic number.

129084274089 is the 359283-rd square number.

129084274089 is the 179642-nd centered octagonal number.

It is an amenable number.

129084274089 is a deficient number, since it is larger than the sum of its proper divisors (72285446190).

129084274089 is an equidigital number, since it uses as much as digits as its factorization.

129084274089 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 388 (or 194 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 129084274089 in words is "one hundred twenty-nine billion, eighty-four million, two hundred seventy-four thousand, eighty-nine".

Divisors: 1 3 9 23 41 69 123 127 207 369 381 529 943 1143 1587 1681 2829 2921 4761 5043 5207 8487 8763 15129 15621 16129 21689 26289 38663 46863 48387 65067 67183 115989 119761 145161 195201 201549 213487 347967 359283 370967 604647 640461 661289 889249 1077849 1112901 1921383 1983867 2667747 2754503 3338703 4910201 5951601 8003241 8263509 8532241 14730603 15209647 24790527 25596723 27112849 44191809 45628941 76790169 81338547 112934623 136886823 244015641 338803869 349821881 623595527 1016411607 1049465643 1870786581 3148396929 5612359743 14342697121 43028091363 129084274089