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28577564401 = 1690492
BaseRepresentation
bin11010100111010110…
…110000011011110001
32201202121201200120011
4122213112300123301
5432011324030101
621043420214521
72031115201201
oct324726603361
981677650504
1028577564401
1111135321121
12565669a441
13290578c729
141551576401
15b23d01751
hex6a75b06f1

28577564401 has 3 divisors (see below), whose sum is σ = 28577733451. Its totient is φ = 28577395352.

The previous prime is 28577564347. The next prime is 28577564413. The reversal of 28577564401 is 10446577582.

The square root of 28577564401 is 169049.

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

It is a semiprime because it is the product of two primes, and also a brilliant number, because the two primes have the same length.

It can be written as a sum of positive squares in only one way, i.e., 14340302001 + 14237262400 = 119751^2 + 119320^2 .

It is not a de Polignac number, because 28577564401 - 213 = 28577556209 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (28577564501) 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 2 ways as a sum of consecutive naturals, for example, 84525 + ... + 253573.

Almost surely, 228577564401 is an apocalyptic number.

28577564401 is the 169049-th square number.

28577564401 is the 84525-th centered octagonal number.

It is an amenable number.

28577564401 is a deficient number, since it is larger than the sum of its proper divisors (169050).

28577564401 is an frugal number, since it uses more digits than its factorization.

28577564401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338098 (or 169049 counting only the distinct ones).

The product of its (nonzero) digits is 1881600, while the sum is 49.

Multiplying 28577564401 by its sum of digits (49), we get a square (1400300655649 = 11833432).

The spelling of 28577564401 in words is "twenty-eight billion, five hundred seventy-seven million, five hundred sixty-four thousand, four hundred one".

Divisors: 1 169049 28577564401