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134107566849 = 321220692
BaseRepresentation
bin111110011100101101…
…1110001001100000001
3110211011012001021001100
41330321123301030001
54144123014114344
6141335210325013
712455211336624
oct1747133611401
9424135037040
10134107566849
1151969252983
1221ba8429769
13c852b88c69
1466c2c1ddbb
15374d785569
hex1f396f1301

134107566849 has 9 divisors (see below), whose sum is σ = 193712516803. Its totient is φ = 89404312152.

The previous prime is 134107566847. The next prime is 134107566863. The reversal of 134107566849 is 948665701431.

The square root of 134107566849 is 366207.

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

134107566849 is a `hidden beast` number, since 1 + 34 + 1 + 0 + 7 + 566 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2382123249 + 131725443600 = 48807^2 + 362940^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 134107566849 - 21 = 134107566847 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 134107566795 and 134107566804.

It is not an unprimeable number, because it can be changed into a prime (134107566841) 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 8 ways as a sum of consecutive naturals, for example, 1037587 + ... + 1159655.

Almost surely, 2134107566849 is an apocalyptic number.

134107566849 is the 366207-th square number.

134107566849 is the 183104-th centered octagonal number.

It is an amenable number.

134107566849 is a deficient number, since it is larger than the sum of its proper divisors (59604949954).

134107566849 is an frugal number, since it uses more digits than its factorization.

134107566849 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 244144 (or 122072 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 134107566849 in words is "one hundred thirty-four billion, one hundred seven million, five hundred sixty-six thousand, eight hundred forty-nine".

Divisors: 1 3 9 122069 366207 1098621 14900840761 44702522283 134107566849