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4459737252481 = 7229210121032
BaseRepresentation
bin100000011100101110100…
…0011100000001010000001
3120210100100202102220211121
41000321131003200022001
51041032020214034411
613252435222512241
7640130306115100
oct100713503401201
916710322386747
104459737252481
11146a400460a15
126003b0b95681
1326472260a244
14115bd111c037
157b01c005571
hex40e5d0e0281

4459737252481 has 81 divisors (see below), whose sum is σ = 5479839208233. Its totient is φ = 3618795902400.

The previous prime is 4459737252457. The next prime is 4459737252493. The reversal of 4459737252481 is 1842527379544.

The square root of 4459737252481 is 2111809.

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

4459737252481 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1465453092481 + 2994284160000 = 1210559^2 + 1730400^2 .

It is not a de Polignac number, because 4459737252481 - 211 = 4459737250433 is a prime.

It is a super-2 number, since 2×44597372524812 (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

Its product of digits (67737600) is a multiple of the sum of its prime divisors (240).

It is not an unprimeable number, because it can be changed into a prime (4459737252881) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 43298419876 + ... + 43298419978.

Almost surely, 24459737252481 is an apocalyptic number.

4459737252481 is the 2111809-th square number.

4459737252481 is the 1055905-th centered octagonal number.

It is an amenable number.

4459737252481 is a deficient number, since it is larger than the sum of its proper divisors (1020101955752).

4459737252481 is an equidigital number, since it uses as much as digits as its factorization.

4459737252481 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 240 counting only the distinct ones).

The product of its digits is 67737600, while the sum is 61.

The spelling of 4459737252481 in words is "four trillion, four hundred fifty-nine billion, seven hundred thirty-seven million, two hundred fifty-two thousand, four hundred eighty-one".

Divisors: 1 7 29 49 101 103 203 707 721 841 1421 2929 2987 4949 5047 5887 10201 10403 10609 20503 20909 41209 71407 72821 74263 84941 86623 143521 146363 295829 301687 307661 499849 509747 519841 594587 606361 1050703 1071509 2070803 2111809 2153627 4162109 4244527 7354921 7500563 8579041 8748923 8922169 14495621 14782663 15075389 30470387 31073761 51484447 52503941 60053287 61242461 62455183 108222409 213292709 217516327 420373009 428697227 437186281 757556863 883641223 901139069 1493048963 1522614289 3138449861 5302898041 6185488561 6307973483 21969149027 43298419927 44155814381 91015045969 153784043189 637105321783 4459737252481