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66748339449 = 3211278292
BaseRepresentation
bin111110001010100000…
…101101010011111001
320101021210202222011100
4332022200231103321
52043200033330244
650355212322013
74552041344511
oct761240552371
9211253688140
1066748339449
1126342774400
1210b29a73309
1363a988b95c
143332c20841
151b09e0ab69
hexf8a82d4f9

66748339449 has 27 divisors (see below), whose sum is σ = 105989551759. Its totient is φ = 40448371920.

The previous prime is 66748339417. The next prime is 66748339507. The reversal of 66748339449 is 94493384766.

The square root of 66748339449 is 258357.

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

66748339449 is a `hidden beast` number, since 6 + 67 + 483 + 3 + 94 + 4 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 8715529449 + 58032810000 = 93357^2 + 240900^2 .

It is not a de Polignac number, because 66748339449 - 25 = 66748339417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (66748339649) 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, 8521867 + ... + 8529695.

Almost surely, 266748339449 is an apocalyptic number.

66748339449 is the 258357-th square number.

66748339449 is the 129179-th centered octagonal number.

It is an amenable number.

66748339449 is a deficient number, since it is larger than the sum of its proper divisors (39241212310).

66748339449 is an frugal number, since it uses more digits than its factorization.

66748339449 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15686 (or 7843 counting only the distinct ones).

The product of its digits is 94058496, while the sum is 63.

The spelling of 66748339449 in words is "sixty-six billion, seven hundred forty-eight million, three hundred thirty-nine thousand, four hundred forty-nine".

Divisors: 1 3 9 11 33 99 121 363 1089 7829 23487 70461 86119 258357 775071 947309 2841927 8525781 61293241 183879723 551639169 674225651 2022676953 6068030859 7416482161 22249446483 66748339449