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890548928721 = 32292108472
BaseRepresentation
bin11001111010110001101…
…10100100000011010001
310011010122212220220202100
430331120312210003101
5104042321011204341
61521040150111013
7121224426665604
oct14753066440321
93133585826670
10890548928721
11313752721091
1212471704b469
1365c9472563a
143116211433b
151827294e3b6
hexcf58da40d1

890548928721 has 27 divisors (see below), whose sum is σ = 1332357674011. Its totient is φ = 573174050064.

The previous prime is 890548928713. The next prime is 890548928741. The reversal of 890548928721 is 127829845098.

The square root of 890548928721 is 943689.

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

890548928721 is a `hidden beast` number, since 8 + 9 + 0 + 548 + 9 + 2 + 87 + 2 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 466982256321 + 423566672400 = 683361^2 + 650820^2 .

It is not a de Polignac number, because 890548928721 - 23 = 890548928713 is a prime.

It is a super-2 number, since 2×8905489287212 (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (890548928741) 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 26 ways as a sum of consecutive naturals, for example, 82095520 + ... + 82106366.

Almost surely, 2890548928721 is an apocalyptic number.

890548928721 is the 943689-th square number.

890548928721 is the 471845-th centered octagonal number.

It is an amenable number.

890548928721 is a deficient number, since it is larger than the sum of its proper divisors (441808745290).

890548928721 is an frugal number, since it uses more digits than its factorization.

890548928721 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21758 (or 10879 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 890548928721 in words is "eight hundred ninety billion, five hundred forty-eight million, nine hundred twenty-eight thousand, seven hundred twenty-one".

Divisors: 1 3 9 29 87 261 841 2523 7569 10847 32541 97623 314563 943689 2831067 9122327 27366981 82100943 117657409 352972227 1058916681 3412064861 10236194583 30708583749 98949880969 296849642907 890548928721