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6554359681 = 19242612
BaseRepresentation
bin1100001101010101…
…11001011110000001
3121220210011222012021
412012222321132001
5101410404002211
63002214401441
7321265065232
oct60652713601
917823158167
106554359681
112863846491
12132b060281
13805ba474c
144626b5089
1528563c771
hex186ab9781

6554359681 has 9 divisors (see below), whose sum is σ = 6919105923. Its totient is φ = 6207936120.

The previous prime is 6554359631. The next prime is 6554359697. The reversal of 6554359681 is 1869534556.

The square root of 6554359681 is 80959.

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., 6334727281 + 219632400 = 79591^2 + 14820^2 .

It is not a de Polignac number, because 6554359681 - 221 = 6552262529 is a prime.

It is a super-2 number, since 2×65543596812 = 85919261655836843522, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (6554359631) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1536091 + ... + 1540351.

It is an arithmetic number, because the mean of its divisors is an integer number (768789547).

Almost surely, 26554359681 is an apocalyptic number.

6554359681 is the 80959-th square number.

6554359681 is the 40480-th centered octagonal number.

It is an amenable number.

6554359681 is a deficient number, since it is larger than the sum of its proper divisors (364746242).

6554359681 is an frugal number, since it uses more digits than its factorization.

6554359681 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8560 (or 4280 counting only the distinct ones).

The product of its digits is 3888000, while the sum is 52.

The cubic root of 6554359681 is about 1871.4436582796.

The spelling of 6554359681 in words is "six billion, five hundred fifty-four million, three hundred fifty-nine thousand, six hundred eighty-one".

Divisors: 1 19 361 4261 80959 1538221 18156121 344966299 6554359681