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238712789810889 = 323672140332
BaseRepresentation
bin110110010001101110100111…
…000010100011111011001001
31011022012201102202111022212100
4312101232213002203323021
5222242032243142422024
62203411050340104013
7101165300315322222
oct6621564702437311
91138181382438770
10238712789810889
116a074586689479
122293417a395009
13a32769a419c44
1442d3a91408249
151c8e702b197c9
hexd91ba70a3ec9

238712789810889 has 27 divisors (see below), whose sum is σ = 345774092755143. Its totient is φ = 158696921184192.

The previous prime is 238712789810839. The next prime is 238712789810899. The reversal of 238712789810889 is 988018987217832.

The square root of 238712789810889 is 15450333.

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

238712789810889 is a `hidden beast` number, since 2 + 3 + 87 + 1 + 278 + 98 + 108 + 89 = 666.

It can be written as a sum of positive squares in only one way, i.e., 27754826841225 + 210957962969664 = 5268285^2 + 14524392^2 .

It is not a de Polignac number, because 238712789810889 - 29 = 238712789810377 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (238712789810839) 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, 17010809617 + ... + 17010823649.

Almost surely, 2238712789810889 is an apocalyptic number.

238712789810889 is the 15450333-rd square number.

238712789810889 is the 7725167-th centered octagonal number.

It is an amenable number.

238712789810889 is a deficient number, since it is larger than the sum of its proper divisors (107061302944254).

238712789810889 is an frugal number, since it uses more digits than its factorization.

238712789810889 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28806 (or 14403 counting only the distinct ones).

The product of its (nonzero) digits is 1560674304, while the sum is 81.

The spelling of 238712789810889 in words is "two hundred thirty-eight trillion, seven hundred twelve billion, seven hundred eighty-nine million, eight hundred ten thousand, eight hundred eighty-nine".

Divisors: 1 3 9 367 1101 3303 14033 42099 126297 134689 404067 1212201 5150111 15450333 46350999 196925089 590775267 1772325801 1890090737 5670272211 17010816633 72271507663 216814522989 650443568967 26523643312321 79570929936963 238712789810889