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278973056041 = 271219492
BaseRepresentation
bin1000000111101000001…
…01110000010000101001
3222200002010000121012221
410003310011300100221
514032314100243131
6332054120434041
726104132564621
oct4036405602051
9880063017187
10278973056041
11a8348021069
1246097618921
13203cb771b34
14d7066d7881
1573cb6dd411
hex40f4170429

278973056041 has 9 divisors (see below), whose sum is σ = 280150015863. Its totient is φ = 277801026840.

The previous prime is 278973056029. The next prime is 278973056059. The reversal of 278973056041 is 140650379872.

The square root of 278973056041 is 528179.

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

It can be written as a sum of positive squares in only one way, i.e., 224656092441 + 54316963600 = 473979^2 + 233060^2 .

It is not a de Polignac number, because 278973056041 - 211 = 278973053993 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 278973056041.

It is not an unprimeable number, because it can be changed into a prime (278973056741) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 143135535 + ... + 143137483.

It is a 1-persistent number, because it is pandigital, but 2⋅278973056041 = 557946112082 is not.

Almost surely, 2278973056041 is an apocalyptic number.

278973056041 is the 528179-th square number.

278973056041 is the 264090-th centered octagonal number.

It is an amenable number.

278973056041 is a deficient number, since it is larger than the sum of its proper divisors (1176959822).

278973056041 is an frugal number, since it uses more digits than its factorization.

278973056041 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4440 (or 2220 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 52.

The spelling of 278973056041 in words is "two hundred seventy-eight billion, nine hundred seventy-three million, fifty-six thousand, forty-one".

Divisors: 1 271 1949 73441 528179 3798601 143136509 1029420871 278973056041