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210486068227044 = 2232617239192
BaseRepresentation
bin101111110110111110011011…
…010100111010101111100100
31000121021021022222222121222100
4233312332123110322233210
5210042100431431231134
62023355544223332100
762223054663513561
oct5766763324725744
91017237288877870
10210486068227044
1161081705176615
121b73573a451030
13905a99c123b1c
1439d981997d868
15195035b9ac999
hexbf6f9b53abe4

210486068227044 has 81 divisors (see below), whose sum is σ = 533061760382697. Its totient is φ = 70030433930688.

The previous prime is 210486068227031. The next prime is 210486068227049. The reversal of 210486068227044 is 440722860684012.

It is a happy number.

The square root of 210486068227044 is 14508138.

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

210486068227044 is a `hidden beast` number, since 2 + 1 + 0 + 4 + 8 + 606 + 8 + 2 + 27 + 0 + 4 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 6095812860900 + 204390255366144 = 2468970^2 + 14296512^2 .

It is not an unprimeable number, because it can be changed into a prime (210486068227049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53709124917 + ... + 53709128835.

Almost surely, 2210486068227044 is an apocalyptic number.

210486068227044 is the 14508138-th square number.

It is an amenable number.

210486068227044 is an abundant number, since it is smaller than the sum of its proper divisors (322575692155653).

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

210486068227044 is an frugal number, since it uses more digits than its factorization.

210486068227044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9082 (or 4541 counting only the distinct ones).

The product of its (nonzero) digits is 8257536, while the sum is 54.

The spelling of 210486068227044 in words is "two hundred ten trillion, four hundred eighty-six billion, sixty-eight million, two hundred twenty-seven thousand, forty-four".

Divisors: 1 2 3 4 6 9 12 18 36 617 1234 1851 2468 3702 3919 5553 7404 7838 11106 11757 15676 22212 23514 35271 47028 70542 141084 380689 761378 1142067 1522756 2284134 2418023 3426201 4568268 4836046 6852402 7254069 9672092 13704804 14508138 15358561 21762207 29016276 30717122 43524414 46075683 61434244 87048828 92151366 138227049 184302732 276454098 552908196 1491920191 2983840382 4475760573 5967680764 8951521146 9476232137 13427281719 17903042292 18952464274 26854563438 28428696411 37904928548 53709126876 56857392822 85286089233 113714785644 170572178466 341144356932 5846835228529 11693670457058 17540505685587 23387340914116 35081011371174 52621517056761 70162022742348 105243034113522 210486068227044