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287420829828249 = 31331435528705827
BaseRepresentation
bin100000101011010000110000…
…0011101101000010010011001
31101200200011101211000100011210
41001112201200131220102121
5300133100324414000444
62455143150103213333
7114353320050301545
oct10126414035502231
91350604354010153
10287420829828249
1183643542435417
12282a00ba447249
13c44b88b65a2c0
1450d935718aa25
15233671e6067b9
hex1056860768499

287420829828249 has 32 divisors (see below), whose sum is σ = 435927397126144. Its totient is φ = 167188064178240.

The previous prime is 287420829828241. The next prime is 287420829828289. The reversal of 287420829828249 is 942828928024782.

It is not a de Polignac number, because 287420829828249 - 23 = 287420829828241 is a prime.

It is a super-2 number, since 2×2874208298282492 (a number of 30 digits) contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (287420829828241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2764300927 + ... + 2764404900.

It is an arithmetic number, because the mean of its divisors is an integer number (13622731160192).

Almost surely, 2287420829828249 is an apocalyptic number.

It is an amenable number.

287420829828249 is a deficient number, since it is larger than the sum of its proper divisors (148506567297895).

287420829828249 is a wasteful number, since it uses less digits than its factorization.

287420829828249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5528705917.

The product of its (nonzero) digits is 1189085184, while the sum is 75.

The spelling of 287420829828249 in words is "two hundred eighty-seven trillion, four hundred twenty billion, eight hundred twenty-nine million, eight hundred twenty-eight thousand, two hundred forty-nine".

Divisors: 1 3 13 31 39 43 93 129 403 559 1209 1333 1677 3999 17329 51987 5528705827 16586117481 71873175751 171389880637 215619527253 237734350561 514169641911 713203051683 2228068448281 3090546557293 6684205344843 7369764867391 9271639671879 22109294602173 95806943276083 287420829828249