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1331679681 = 322925719853
BaseRepresentation
bin100111101011111…
…1101000111000001
310102210210100002200
41033113331013001
510211402222211
6340050303413
745000043023
oct11727750701
93383710080
101331679681
11623775722
12311b87b69
13182b7a657
14c8c0a013
157bd9bb56
hex4f5fd1c1

1331679681 has 24 divisors (see below), whose sum is σ = 1997709480. Its totient is φ = 853794816.

The previous prime is 1331679667. The next prime is 1331679689. The reversal of 1331679681 is 1869761331.

It can be written as a sum of positive squares in 4 ways, for example, as 363474225 + 968205456 = 19065^2 + 31116^2 .

It is not a de Polignac number, because 1331679681 - 219 = 1331155393 is a prime.

It is a super-2 number, since 2×13316796812 = 3546741545576523522, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1331679689) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 57151 + ... + 77003.

It is an arithmetic number, because the mean of its divisors is an integer number (83237895).

Almost surely, 21331679681 is an apocalyptic number.

It is an amenable number.

1331679681 is a deficient number, since it is larger than the sum of its proper divisors (666029799).

1331679681 is a wasteful number, since it uses less digits than its factorization.

1331679681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20145 (or 20142 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 1331679681 is about 36492.1865746628. The cubic root of 1331679681 is about 1100.1872080823.

The spelling of 1331679681 in words is "one billion, three hundred thirty-one million, six hundred seventy-nine thousand, six hundred eighty-one".

Divisors: 1 3 9 29 87 257 261 771 2313 7453 19853 22359 59559 67077 178677 575737 1727211 5102221 5181633 15306663 45919989 147964409 443893227 1331679681