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287082711601 = 72765432
BaseRepresentation
bin1000010110101110111…
…01101000101000110001
31000110000021202210021021
410023113131220220301
514200421133232401
6335514534455441
726512114533400
oct4132735505061
91013007683237
10287082711601
11100829785344
124777b504581
13210c19295aa
14dc75787637
1577036492a1
hex42d7768a31

287082711601 has 9 divisors (see below), whose sum is σ = 333957721401. Its totient is φ = 246067680852.

The previous prime is 287082711599. The next prime is 287082711653. The reversal of 287082711601 is 106117280782.

The square root of 287082711601 is 535801.

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

It is not a de Polignac number, because 287082711601 - 21 = 287082711599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (287082711001) 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 8 ways as a sum of consecutive naturals, for example, 3712336 + ... + 3788878.

It is an arithmetic number, because the mean of its divisors is an integer number (37106413489).

Almost surely, 2287082711601 is an apocalyptic number.

287082711601 is the 535801-st square number.

287082711601 is the 267901-st centered octagonal number.

It is an amenable number.

287082711601 is a deficient number, since it is larger than the sum of its proper divisors (46875009800).

287082711601 is an frugal number, since it uses more digits than its factorization.

287082711601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153100 (or 76550 counting only the distinct ones).

The product of its (nonzero) digits is 75264, while the sum is 43.

The spelling of 287082711601 in words is "two hundred eighty-seven billion, eighty-two million, seven hundred eleven thousand, six hundred one".

Divisors: 1 7 49 76543 535801 3750607 5858830849 41011815943 287082711601