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61416239329 = 79231372
BaseRepresentation
bin111001001100101100…
…010111000011100001
312212112012111012212201
4321030230113003201
52001240024124304
644114135053201
74302644264224
oct711454270341
9185465435781
1061416239329
1124056958695
12baa0211201
135a39ca3423
142d889d15bb
1518e6c543a4
hexe4cb170e1

61416239329 has 9 divisors (see below), whose sum is σ = 62223336147. Its totient is φ = 60619488384.

The previous prime is 61416239323. The next prime is 61416239347. The reversal of 61416239329 is 92393261416.

The square root of 61416239329 is 247823.

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., 61337952225 + 78287104 = 247665^2 + 8848^2 .

It is a de Polignac number, because none of the positive numbers 2k-61416239329 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61416239323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 19576449 + ... + 19579585.

Almost surely, 261416239329 is an apocalyptic number.

61416239329 is the 247823-rd square number.

61416239329 is the 123912-nd centered octagonal number.

It is an amenable number.

61416239329 is a deficient number, since it is larger than the sum of its proper divisors (807096818).

61416239329 is an frugal number, since it uses more digits than its factorization.

61416239329 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6432 (or 3216 counting only the distinct ones).

The product of its digits is 419904, while the sum is 46.

The spelling of 61416239329 in words is "sixty-one billion, four hundred sixteen million, two hundred thirty-nine thousand, three hundred twenty-nine".

Divisors: 1 79 3137 6241 247823 9840769 19578017 777420751 61416239329