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955005005 = 51741274033
BaseRepresentation
bin111000111011000…
…011100001001101
32110120000021120202
4320323003201031
53423440130010
6234433023245
732444260103
oct7073034115
92416007522
10955005005
11450091439
122279b4b25
13122b14c26
1490b97c73
1558c946a5
hex38ec384d

955005005 has 16 divisors (see below), whose sum is σ = 1243018224. Its totient is φ = 701521920.

The previous prime is 955004993. The next prime is 955005013. The reversal of 955005005 is 500500559.

955005005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 33396841 + 921608164 = 5779^2 + 30358^2 .

It is not a de Polignac number, because 955005005 - 24 = 955004989 is a prime.

It is a Duffinian number.

955005005 is a modest number, since divided by 5005 gives 955 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 133532 + ... + 140501.

It is an arithmetic number, because the mean of its divisors is an integer number (77688639).

Almost surely, 2955005005 is an apocalyptic number.

It is an amenable number.

955005005 is a deficient number, since it is larger than the sum of its proper divisors (288013219).

955005005 is a wasteful number, since it uses less digits than its factorization.

955005005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 274096.

The product of its (nonzero) digits is 5625, while the sum is 29.

The square root of 955005005 is about 30903.1552596171. The cubic root of 955005005 is about 984.7709208145.

The spelling of 955005005 in words is "nine hundred fifty-five million, five thousand, five".

Divisors: 1 5 17 41 85 205 697 3485 274033 1370165 4658561 11235353 23292805 56176765 191001001 955005005