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634088912209 = 17231215112
BaseRepresentation
bin10010011101000101010…
…01001111010101010001
32020121200202011012221021
421032202221033111101
540342103230142314
61203144005555441
763545212552504
oct11164251172521
92217622135837
10634088912209
11224a08729915
12a2a83115b81
1347a431a4a8c
142299378913b
1511762931324
hex93a2a4f551

634088912209 has 27 divisors (see below), whose sum is σ = 696472654683. Its totient is φ = 577156065600.

The previous prime is 634088912207. The next prime is 634088912227. The reversal of 634088912209 is 902219880436.

The square root of 634088912209 is 796297.

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., 493667838225 + 140421073984 = 702615^2 + 374728^2 .

It is not a de Polignac number, because 634088912209 - 21 = 634088912207 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (634088912203) 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 26 ways as a sum of consecutive naturals, for example, 419647764 + ... + 419649274.

Almost surely, 2634088912209 is an apocalyptic number.

634088912209 is the 796297-th square number.

634088912209 is the 398149-th centered octagonal number.

It is an amenable number.

634088912209 is a deficient number, since it is larger than the sum of its proper divisors (62383742474).

634088912209 is an frugal number, since it uses more digits than its factorization.

634088912209 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3118 (or 1559 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 634088912209 in words is "six hundred thirty-four billion, eighty-eight million, nine hundred twelve thousand, two hundred nine".

Divisors: 1 17 31 289 527 961 1511 8959 16337 25687 46841 277729 436679 796297 1452071 2283121 13537049 24685207 38813057 70776751 419648519 659821969 1203204767 2194079281 20454481039 37299347777 634088912209