Search a number
-
+
479463459489 = 34722923792
BaseRepresentation
bin1101111101000100011…
…11111100101010100001
31200211120122002100210000
412332202033330222201
530323420121200424
61004132405530213
746432360106400
oct6764217745241
91624518070700
10479463459489
11175380694673
1278b0b413969
13362a0566061
14192c5993637
15c712c323c9
hex6fa23fcaa1

479463459489 has 135 divisors (see below), whose sum is σ = 865175481027. Its totient is φ = 263833591392.

The previous prime is 479463459437. The next prime is 479463459491. The reversal of 479463459489 is 984954364974.

It is a happy number.

The square root of 479463459489 is 692433.

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

479463459489 is a `hidden beast` number, since 4 + 7 + 94 + 6 + 3 + 4 + 59 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 251419007889 + 228044451600 = 501417^2 + 477540^2 .

It is not a de Polignac number, because 479463459489 - 27 = 479463459361 is a prime.

It is a super-2 number, since 2×4794634594892 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (479463457489) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1265074902 + ... + 1265075280.

Almost surely, 2479463459489 is an apocalyptic number.

479463459489 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

479463459489 is the 692433-rd square number.

479463459489 is the 346217-th centered octagonal number.

It is an amenable number.

479463459489 is a deficient number, since it is larger than the sum of its proper divisors (385712021538).

479463459489 is an frugal number, since it uses more digits than its factorization.

479463459489 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 842 (or 418 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 479463459489 in words is "four hundred seventy-nine billion, four hundred sixty-three million, four hundred fifty-nine thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 21 27 29 49 63 81 87 147 189 203 261 379 441 567 609 783 841 1137 1323 1421 1827 2349 2523 2653 3411 3969 4263 5481 5887 7569 7959 10233 10991 12789 16443 17661 18571 22707 23877 30699 32973 38367 41209 52983 55713 68121 71631 76937 98919 115101 123627 143641 158949 167139 214893 230811 296757 318739 370881 430923 476847 501417 538559 692433 890271 956217 1005487 1112643 1292769 1504251 1615677 2077299 2231173 2868651 3016461 3337929 3878307 4165589 4847031 6231897 6693519 7038409 8605953 9049383 11634921 12496767 14541093 15618211 20080557 21115227 25817859 27148149 29159123 37490301 43623279 46854633 60241671 63345681 81444447 87477369 112470903 120802081 140563899 180725013 190037043 204113861 262432107 337412709 362406243 421691697 570111129 612341583 787296321 845614567 1087218729 1265075091 1837024749 2361888963 2536843701 3261656187 5511074247 5919301969 7610531103 9784968561 16533222741 17757905907 22831593309 53273717721 68494779927 159821153163 479463459489