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286675150442256 = 243621127432
BaseRepresentation
bin100000100101110101100001…
…0100000100000111100010000
31101121000212200010200201000000
41001023223002200200330100
5300033341202003123011
62453412425050130000
7114245411321142552
oct10113530240407420
91347025603621000
10286675150442256
1183386280900a54
122819b693a20900
13c3c64736098a4
1450b12192c74d2
15232212a161356
hex104bac2820f10

286675150442256 has 315 divisors, whose sum is σ = 837861848701527. Its totient is φ = 94977498127680.

The previous prime is 286675150442249. The next prime is 286675150442327. The reversal of 286675150442256 is 652244051576682.

The square root of 286675150442256 is 16931484.

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

286675150442256 is a `hidden beast` number, since 2 + 8 + 6 + 6 + 7 + 5 + 150 + 4 + 422 + 56 = 666.

It is a super-2 number, since 2×2866751504422562 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 286675150442193 and 286675150442202.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 385834657021 + ... + 385834657763.

Almost surely, 2286675150442256 is an apocalyptic number.

286675150442256 is the 16931484-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 286675150442256

286675150442256 is an abundant number, since it is smaller than the sum of its proper divisors (551186698259271).

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

286675150442256 is an frugal number, since it uses more digits than its factorization.

286675150442256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1934 (or 959 counting only the distinct ones).

The product of its (nonzero) digits is 193536000, while the sum is 63.

The spelling of 286675150442256 in words is "two hundred eighty-six trillion, six hundred seventy-five billion, one hundred fifty million, four hundred forty-two thousand, two hundred fifty-six".