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286869502404 = 2232172592892
BaseRepresentation
bin1000010110010101100…
…00010011100111000100
31000102110102120122020100
410023022300103213010
514200002043034104
6335441441004100
726503615352262
oct4131260234704
91012412518210
10286869502404
1110072a3a00a1
1247720023630
13210896c8ac4
14dc55327432
1576dea81139
hex42cac139c4

286869502404 has 243 divisors, whose sum is σ = 792487510087. Its totient is φ = 87478803456.

The previous prime is 286869502399. The next prime is 286869502441. The reversal of 286869502404 is 404205968682.

The square root of 286869502404 is 535602.

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

It can be written as a sum of positive squares in 4 ways, for example, as 379080900 + 286490421504 = 19470^2 + 535248^2 .

It is a super-2 number, since 2×2868695024042 (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 3223252792 + ... + 3223252880.

Almost surely, 2286869502404 is an apocalyptic number.

286869502404 is the 535602-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286869502404

286869502404 is an abundant number, since it is smaller than the sum of its proper divisors (505618007683).

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

286869502404 is a wasteful number, since it uses less digits than its factorization.

286869502404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 6635520, while the sum is 54.

The spelling of 286869502404 in words is "two hundred eighty-six billion, eight hundred sixty-nine million, five hundred two thousand, four hundred four".