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484896359025 = 325213235712
BaseRepresentation
bin1110000111001100001…
…00110100001001110001
31201100121021001020212100
413003212010310021301
530421031431442100
61010431443451013
750014120021551
oct7034604641161
91640537036770
10484896359025
11177709398491
1279b86986a69
1336957cb4c00
141967d341161
15c92eb9a400
hex70e6134271

484896359025 has 81 divisors (see below), whose sum is σ = 940713703137. Its totient is φ = 238651358400.

The previous prime is 484896358937. The next prime is 484896359027. The reversal of 484896359025 is 520953698484.

The square root of 484896359025 is 696345.

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

484896359025 is a `hidden beast` number, since 4 + 8 + 489 + 63 + 5 + 90 + 2 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 124982753841 + 359913605184 = 353529^2 + 599928^2 .

It is not a de Polignac number, because 484896359025 - 213 = 484896350833 is a prime.

It is not an unprimeable number, because it can be changed into a prime (484896359027) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 135785490 + ... + 135789060.

Almost surely, 2484896359025 is an apocalyptic number.

484896359025 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

484896359025 is the 696345-th square number.

484896359025 is the 348173-rd centered octagonal number.

It is an amenable number.

484896359025 is a deficient number, since it is larger than the sum of its proper divisors (455817344112).

484896359025 is an equidigital number, since it uses as much as digits as its factorization.

484896359025 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7184 (or 3592 counting only the distinct ones).

The product of its (nonzero) digits is 74649600, while the sum is 63.

The spelling of 484896359025 in words is "four hundred eighty-four billion, eight hundred ninety-six million, three hundred fifty-nine thousand, twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 65 75 117 169 195 225 325 507 585 845 975 1521 2535 2925 3571 4225 7605 10713 12675 17855 32139 38025 46423 53565 89275 139269 160695 232115 267825 417807 603499 696345 803475 1160575 1810497 2089035 3017495 3481725 5431491 9052485 10445175 12752041 15087475 27157455 38256123 45262425 63760205 114768369 135787275 165776533 191280615 318801025 497329599 573841845 828882665 956403075 1491988797 2155094929 2486647995 2869209225 4144413325 6465284787 7459943985 10775474645 12433239975 19395854361 32326423935 37299719925 53877373225 96979271805 161632119675 484896359025