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9780411843225 = 3452694972
BaseRepresentation
bin1000111001010010110111…
…1110010100001010011001
31021121222221201101002210000
42032110231332110022121
52240220240412440400
632445020440443213
72026416502662432
oct216245576241231
937558851332700
109780411843225
113130938568801
12111b614179509
1355c39a88b84a
1425b535730489
1511e626ea5600
hex8e52df94299

9780411843225 has 45 divisors (see below), whose sum is σ = 18116964303757. Its totient is φ = 5216144592960.

The previous prime is 9780411843203. The next prime is 9780411843233. The reversal of 9780411843225 is 5223481140879.

The square root of 9780411843225 is 3127365.

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

9780411843225 is a `hidden beast` number, since 9 + 78 + 0 + 4 + 118 + 432 + 25 = 666.

9780411843225 is digitally balanced in base 2, 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 1984455411849 + 7795956431376 = 1408707^2 + 2792124^2 .

It is a tau number, because it is divible by the number of its divisors (45).

It is not a de Polignac number, because 9780411843225 - 227 = 9780277625497 is a prime.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 140696677 + ... + 140766173.

Almost surely, 29780411843225 is an apocalyptic number.

9780411843225 is the 3127365-th square number.

9780411843225 is the 1563683-rd centered octagonal number.

It is an amenable number.

9780411843225 is a deficient number, since it is larger than the sum of its proper divisors (8336552460532).

9780411843225 is an frugal number, since it uses more digits than its factorization.

9780411843225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 139016 (or 69505 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 9780411843225 in words is "nine trillion, seven hundred eighty billion, four hundred eleven million, eight hundred forty-three thousand, two hundred twenty-five".

Divisors: 1 3 5 9 15 25 27 45 75 81 135 225 405 675 2025 69497 208491 347485 625473 1042455 1737425 1876419 3127365 5212275 5629257 9382095 15636825 28146285 46910475 140731425 4829833009 14489499027 24149165045 43468497081 72447495135 120745825225 130405491243 217342485405 362237475675 391216473729 652027456215 1086712427025 1956082368645 3260137281075 9780411843225