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287983562881 = 7231224732
BaseRepresentation
bin1000011000011010010…
…10000111000010000001
31000112100001212202220111
410030031022013002001
514204242243003011
6340144155111321
726543333616100
oct4141512070201
91015301782814
10287983562881
11101151239233
1247991142541
13212064605a1
14dd1d286037
157757793121
hex430d287081

287983562881 has 27 divisors (see below), whose sum is σ = 346296408003. Its totient is φ = 238783779360.

The previous prime is 287983562873. The next prime is 287983562917. The reversal of 287983562881 is 188265389782.

The square root of 287983562881 is 536641.

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

It can be written as a sum of positive squares in only one way, i.e., 214642257025 + 73341305856 = 463295^2 + 270816^2 .

It is not a de Polignac number, because 287983562881 - 23 = 287983562873 is a prime.

It is a super-2 number, since 2×2879835628812 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (287983562821) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 116449861 + ... + 116452333.

It is an arithmetic number, because the mean of its divisors is an integer number (12825792889).

Almost surely, 2287983562881 is an apocalyptic number.

287983562881 is the 536641-st square number.

287983562881 is the 268321-st centered octagonal number.

It is an amenable number.

287983562881 is a deficient number, since it is larger than the sum of its proper divisors (58312845122).

287983562881 is an frugal number, since it uses more digits than its factorization.

287983562881 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5022 (or 2511 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 67.

The spelling of 287983562881 in words is "two hundred eighty-seven billion, nine hundred eighty-three million, five hundred sixty-two thousand, eight hundred eighty-one".

Divisors: 1 7 31 49 217 961 1519 2473 6727 17311 47089 76663 121177 536641 2376553 3756487 6115729 16635871 42810103 116451097 189587599 299670721 1327113193 5877215569 9289792351 41140508983 287983562881