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2772145133 = 5415938641
BaseRepresentation
bin1010010100111011…
…1001001111101101
321011012021120012222
42211032321033231
521134132121013
61135024405125
7125460562532
oct24516711755
97135246188
102772145133
1111a289273a
126544767a5
13352426784
141c4252d89
15113586508
hexa53b93ed

2772145133 has 8 divisors (see below), whose sum is σ = 2782274616. Its totient is φ = 2762035200.

The previous prime is 2772145109. The next prime is 2772145151. The reversal of 2772145133 is 3315412772.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22401289 + 2749743844 = 4733^2 + 52438^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-2772145133 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2772145093 and 2772145102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2772145933) 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 7 ways as a sum of consecutive naturals, for example, 316493 + ... + 325133.

It is an arithmetic number, because the mean of its divisors is an integer number (347784327).

Almost surely, 22772145133 is an apocalyptic number.

It is an amenable number.

2772145133 is a deficient number, since it is larger than the sum of its proper divisors (10129483).

2772145133 is an equidigital number, since it uses as much as digits as its factorization.

2772145133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9775.

The product of its digits is 35280, while the sum is 35.

The square root of 2772145133 is about 52651.1645930078. The cubic root of 2772145133 is about 1404.7703145685.

The spelling of 2772145133 in words is "two billion, seven hundred seventy-two million, one hundred forty-five thousand, one hundred thirty-three".

Divisors: 1 541 593 8641 320813 4674781 5124113 2772145133