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272890200249 = 3230321133361
BaseRepresentation
bin1111111000100110000…
…1100000000010111001
3222002101012001111202200
43332021201200002321
513432334342401444
6325210344020413
725500321300312
oct3761141400271
9862335044680
10272890200249
11a5806449517
1244a7a461709
131c96c485b94
14d2ca8bb609
15717268a969
hex3f898600b9

272890200249 has 6 divisors (see below), whose sum is σ = 394174733706. Its totient is φ = 181926800160.

The previous prime is 272890200197. The next prime is 272890200251. The reversal of 272890200249 is 942002098272.

It can be written as a sum of positive squares in only one way, i.e., 150280275600 + 122609924649 = 387660^2 + 350157^2 .

It is not a de Polignac number, because 272890200249 - 29 = 272890199737 is a prime.

It is a super-2 number, since 2×2728902002492 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (272890200749) 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 5 ways as a sum of consecutive naturals, for example, 15160566672 + ... + 15160566689.

It is an arithmetic number, because the mean of its divisors is an integer number (65695788951).

Almost surely, 2272890200249 is an apocalyptic number.

It is an amenable number.

272890200249 is a deficient number, since it is larger than the sum of its proper divisors (121284533457).

272890200249 is a wasteful number, since it uses less digits than its factorization.

272890200249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30321133367 (or 30321133364 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 45.

The spelling of 272890200249 in words is "two hundred seventy-two billion, eight hundred ninety million, two hundred thousand, two hundred forty-nine".

Divisors: 1 3 9 30321133361 90963400083 272890200249