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674643748689 = 3629210492
BaseRepresentation
bin10011101000100111110…
…01101010011101010001
32101111101002020101000000
421310103321222131101
542023132244424224
61233532124520213
766512205150411
oct11642371523521
92344332211000
10674643748689
112401298987a9
12aa9009b0069
134b80719c041
142491d904641
1512837eb40c9
hex9d13e6a751

674643748689 has 63 divisors (see below), whose sum is σ = 1048584656353. Its totient is φ = 433839478464.

The previous prime is 674643748687. The next prime is 674643748703. The reversal of 674643748689 is 986847346476.

The square root of 674643748689 is 821367.

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

674643748689 is a `hidden beast` number, since 6 + 7 + 4 + 64 + 3 + 7 + 486 + 89 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 154946938689 + 519696810000 = 393633^2 + 720900^2 .

It is not a de Polignac number, because 674643748689 - 21 = 674643748687 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (674643748687) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 643129837 + ... + 643130885.

Almost surely, 2674643748689 is an apocalyptic number.

674643748689 is the 821367-th square number.

674643748689 is the 410684-th centered octagonal number.

It is an amenable number.

674643748689 is a deficient number, since it is larger than the sum of its proper divisors (373940907664).

674643748689 is an frugal number, since it uses more digits than its factorization.

674643748689 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2174 (or 1081 counting only the distinct ones).

The product of its digits is 1170505728, while the sum is 72.

The spelling of 674643748689 in words is "six hundred seventy-four billion, six hundred forty-three million, seven hundred forty-eight thousand, six hundred eighty-nine".

Divisors: 1 3 9 27 29 81 87 243 261 729 783 841 1049 2349 2523 3147 7047 7569 9441 21141 22707 28323 30421 68121 84969 91263 204363 254907 273789 613089 764721 821367 882209 1100401 2464101 2646627 3301203 7392303 7939881 9903609 22176909 23819643 29710827 31911629 71458929 89132481 95734887 214376787 267397443 287204661 643130361 802192329 861613983 925437241 2584841949 2776311723 7754525847 8328935169 23263577541 24986805507 74960416521 224881249563 674643748689