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272779192945 = 573159054923
BaseRepresentation
bin1111111000001011101…
…0000010101001110001
3222002002110011202101001
43332002322002221301
513432122433133240
6325151340442001
725464502612000
oct3760272025161
9862073152331
10272779192945
11a575981a046
1244a49249301
131c95248a19c
14d2b9c62c37
157167a5e89a
hex3f82e82a71

272779192945 has 16 divisors (see below), whose sum is σ = 381731817600. Its totient is φ = 187048588272.

The previous prime is 272779192901. The next prime is 272779192949. The reversal of 272779192945 is 549291977272.

272779192945 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 272779192945 - 215 = 272779160177 is a prime.

It is a Smith number, since the sum of its digits (64) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (272779192949) 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 15 ways as a sum of consecutive naturals, for example, 79525747 + ... + 79529176.

It is an arithmetic number, because the mean of its divisors is an integer number (23858238600).

Almost surely, 2272779192945 is an apocalyptic number.

It is an amenable number.

272779192945 is a deficient number, since it is larger than the sum of its proper divisors (108952624655).

272779192945 is an equidigital number, since it uses as much as digits as its factorization.

272779192945 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159054949 (or 159054935 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 64.

The spelling of 272779192945 in words is "two hundred seventy-two billion, seven hundred seventy-nine million, one hundred ninety-two thousand, nine hundred forty-five".

Divisors: 1 5 7 35 49 245 343 1715 159054923 795274615 1113384461 5566922305 7793691227 38968456135 54555838589 272779192945