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289368608437 = 3752115011081
BaseRepresentation
bin1000011010111111011…
…01101000111010110101
31000122220121002101020001
410031133231220322311
514220111330432222
6340533433311301
726622552405556
oct4153755507265
91018817071201
10289368608437
111017a2043487
12480b8b65531
13213973a437c
14100111c432d
1577d9181e27
hex435fb68eb5

289368608437 has 8 divisors (see below), whose sum is σ = 297759822552. Its totient is φ = 281007417600.

The previous prime is 289368608407. The next prime is 289368608447. The reversal of 289368608437 is 734806863982.

It can be written as a sum of positive squares in 4 ways, for example, as 94839977521 + 194528630916 = 307961^2 + 441054^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-289368608437 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (289368608407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 7486264 + ... + 7524817.

It is an arithmetic number, because the mean of its divisors is an integer number (37219977819).

Almost surely, 2289368608437 is an apocalyptic number.

It is an amenable number.

289368608437 is a deficient number, since it is larger than the sum of its proper divisors (8391214115).

289368608437 is a wasteful number, since it uses less digits than its factorization.

289368608437 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15011639.

The product of its (nonzero) digits is 83607552, while the sum is 64.

The spelling of 289368608437 in words is "two hundred eighty-nine billion, three hundred sixty-eight million, six hundred eight thousand, four hundred thirty-seven".

Divisors: 1 37 521 19277 15011081 555409997 7820773201 289368608437