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272073862449 = 3219291512
BaseRepresentation
bin1111110101100011011…
…1011010110100110001
3222000021021222020211100
43331120313122310301
513424201402044244
6324553343035013
725441146446604
oct3753067326461
9860237866740
10272073862449
11a5427669884
1244890b9ba69
131c86c30276c
14d2502dc33b
157125b87b69
hex3f58ddad31

272073862449 has 27 divisors (see below), whose sum is σ = 414813517209. Its totient is φ = 171817345800.

The previous prime is 272073862427. The next prime is 272073862453. The reversal of 272073862449 is 944268370272.

The square root of 272073862449 is 521607.

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

272073862449 is a `hidden beast` number, since 2 + 7 + 2 + 0 + 7 + 3 + 8 + 624 + 4 + 9 = 666.

It is not a de Polignac number, because 272073862449 - 29 = 272073861937 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 272073862395 and 272073862404.

It is not an unprimeable number, because it can be changed into a prime (272073862409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 29727024 + ... + 29736174.

Almost surely, 2272073862449 is an apocalyptic number.

272073862449 is the 521607-th square number.

272073862449 is the 260804-th centered octagonal number.

It is an amenable number.

272073862449 is a deficient number, since it is larger than the sum of its proper divisors (142739654760).

272073862449 is an frugal number, since it uses more digits than its factorization.

272073862449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18346 (or 9173 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 54.

The spelling of 272073862449 in words is "two hundred seventy-two billion, seventy-three million, eight hundred sixty-two thousand, four hundred forty-nine".

Divisors: 1 3 9 19 57 171 361 1083 3249 9151 27453 82359 173869 521607 1564821 3303511 9910533 29731599 83740801 251222403 753667209 1591075219 4773225657 14319676971 30230429161 90691287483 272073862449