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53660332609 = 13210321732
BaseRepresentation
bin110001111110011001…
…111011001001000001
312010111200101100000021
4301332121323021001
51334344021120414
640352355053441
73606516205252
oct617631731101
9163450340007
1053660332609
112083694a124
12a4968a1281
1350a21b5300
142850906b29
1515e0dc2c24
hexc7e67b241

53660332609 has 27 divisors (see below), whose sum is σ = 59016299337. Its totient is φ = 48768179616.

The previous prime is 53660332571. The next prime is 53660332639. The reversal of 53660332609 is 90623306635.

The square root of 53660332609 is 231647.

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

It can be written as a sum of positive squares in 4 ways, for example, as 428614209 + 53231718400 = 20703^2 + 230720^2 .

It is not a de Polignac number, because 53660332609 - 229 = 53123461697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (53660332639) 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, 310175247 + ... + 310175419.

Almost surely, 253660332609 is an apocalyptic number.

53660332609 is the 231647-th square number.

53660332609 is the 115824-th centered octagonal number.

It is an amenable number.

53660332609 is a deficient number, since it is larger than the sum of its proper divisors (5355966728).

53660332609 is an equidigital number, since it uses as much as digits as its factorization.

53660332609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 578 (or 289 counting only the distinct ones).

The product of its (nonzero) digits is 524880, while the sum is 43.

The spelling of 53660332609 in words is "fifty-three billion, six hundred sixty million, three hundred thirty-two thousand, six hundred nine".

Divisors: 1 13 103 169 173 1339 2249 10609 17407 17819 29237 29929 137917 231647 389077 1792921 1835357 3011411 3082687 5058001 23859641 40074931 310175333 317516761 520974103 4127717893 53660332609