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389259944649 = 3418123832
BaseRepresentation
bin1011010101000011011…
…00110110001011001001
31101012202012021000210000
411222201230312023021
522334201021212044
6454453515313213
740060136636202
oct5524154661311
91335665230700
10389259944649
111400a20aa8a4
126353644b809
132a9265289c4
1414ba9a3a5a9
15a1d3aa4d69
hex5aa1b362c9

389259944649 has 45 divisors (see below), whose sum is σ = 586248126519. Its totient is φ = 257399071920.

The previous prime is 389259944641. The next prime is 389259944653. The reversal of 389259944649 is 946449952983.

The square root of 389259944649 is 623907.

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

389259944649 is a `hidden beast` number, since 3 + 8 + 92 + 5 + 99 + 446 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 4289333049 + 384970611600 = 65493^2 + 620460^2 .

It is not a de Polignac number, because 389259944649 - 23 = 389259944641 is a prime.

It is not an unprimeable number, because it can be changed into a prime (389259944641) 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 44 ways as a sum of consecutive naturals, for example, 1016344312 + ... + 1016344694.

Almost surely, 2389259944649 is an apocalyptic number.

389259944649 is the 623907-th square number.

389259944649 is the 311954-th centered octagonal number.

It is an amenable number.

389259944649 is a deficient number, since it is larger than the sum of its proper divisors (196988181870).

389259944649 is an frugal number, since it uses more digits than its factorization.

389259944649 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1140 (or 567 counting only the distinct ones).

The product of its digits is 604661760, while the sum is 72.

The spelling of 389259944649 in words is "three hundred eighty-nine billion, two hundred fifty-nine million, nine hundred forty-four thousand, six hundred forty-nine".

Divisors: 1 3 9 27 81 181 383 543 1149 1629 3447 4887 10341 14661 31023 32761 69323 98283 146689 207969 294849 440067 623907 884547 1320201 1871721 2653641 3960603 5615163 11881809 12547463 26550709 37642389 79652127 112927167 238956381 338781501 716869143 1016344503 2150607429 4805678329 14417034987 43251104961 129753314883 389259944649