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289010534409 = 3866372
BaseRepresentation
bin1000011010010100101…
…11101100100000001001
31000121222122022100000000
410031022113230200021
514213343144100114
6340434122433213
726610644003142
oct4151227544011
91017878270000
10289010534409
11101628a04133
1248019062809
132133b15214c
14ddb9814ac9
1577b7a00e09
hex434a5ec809

289010534409 has 27 divisors (see below), whose sum is σ = 433559101287. Its totient is φ = 192644659368.

The previous prime is 289010534387. The next prime is 289010534411. The reversal of 289010534409 is 904435010982.

The square root of 289010534409 is 537597.

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

289010534409 is a `hidden beast` number, since 28 + 90 + 1 + 0 + 534 + 4 + 0 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4251692025 + 284758842384 = 65205^2 + 533628^2 .

It is a tau number, because it is divible by the number of its divisors (27).

It is not a de Polignac number, because 289010534409 - 215 = 289010501641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (289010534209) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 43542039 + ... + 43548675.

Almost surely, 2289010534409 is an apocalyptic number.

289010534409 is the 537597-th square number.

289010534409 is the 268799-th centered octagonal number.

It is an amenable number.

289010534409 is a deficient number, since it is larger than the sum of its proper divisors (144548566878).

289010534409 is an frugal number, since it uses more digits than its factorization.

289010534409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13298 (or 6640 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 289010534409 in words is "two hundred eighty-nine billion, ten million, five hundred thirty-four thousand, four hundred nine".

Divisors: 1 3 9 27 81 243 729 2187 6561 6637 19911 59733 179199 537597 1612791 4838373 14515119 43545357 44049769 132149307 396447921 1189343763 3568031289 10704093867 32112281601 96336844803 289010534409