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1483955203329 = 341353532
BaseRepresentation
bin10101100110000010100…
…111110110110100000001
312020212100101112000110000
4111212002213312310001
5143303120013001304
63053415234030213
7212132536051464
oct25460247666401
95225311460400
101483955203329
11522384031155
121bb725718369
13a9c232a7491
1451b767972db
15289039a5939
hex159829f6d01

1483955203329 has 15 divisors (see below), whose sum is σ = 2216788965523. Its totient is φ = 989296159824.

The previous prime is 1483955203271. The next prime is 1483955203331. The reversal of 1483955203329 is 9233025593841.

The square root of 1483955203329 is 1218177.

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

1483955203329 is a `hidden beast` number, since 1 + 4 + 8 + 3 + 95 + 520 + 3 + 3 + 29 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1024336289025 + 459618914304 = 1012095^2 + 677952^2 .

It is not a de Polignac number, because 1483955203329 - 27 = 1483955203201 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1483955203729) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 10895917 + ... + 11031269.

Almost surely, 21483955203329 is an apocalyptic number.

1483955203329 is the 1218177-th square number.

1483955203329 is the 609089-th centered octagonal number.

It is an amenable number.

1483955203329 is a deficient number, since it is larger than the sum of its proper divisors (732833762194).

1483955203329 is an frugal number, since it uses more digits than its factorization.

1483955203329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270718 (or 135356 counting only the distinct ones).

The product of its (nonzero) digits is 6998400, while the sum is 54.

The spelling of 1483955203329 in words is "one trillion, four hundred eighty-three billion, nine hundred fifty-five million, two hundred three thousand, three hundred twenty-nine".

Divisors: 1 3 9 27 81 135353 406059 1218177 3654531 10963593 18320434609 54961303827 164883911481 494651734443 1483955203329