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67430066929 = 1927921732
BaseRepresentation
bin111110110011001001…
…010010101011110001
320110001022120022110021
4332303021102223301
52101044044120204
650551004203441
74604660053261
oct766311225361
9213038508407
1067430066929
1126662573345
121109a239581
136487ba0cb4
14339959d7a1
151b49bbe154
hexfb3252af1

67430066929 has 27 divisors (see below), whose sum is σ = 72497085003. Its totient is φ = 62707913424.

The previous prime is 67430066867. The next prime is 67430066941. The reversal of 67430066929 is 92966003476.

The square root of 67430066929 is 259673.

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 + 6092114704 = 247665^2 + 78052^2 .

It is not a de Polignac number, because 67430066929 - 223 = 67421678321 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67430066729) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 389769087 + ... + 389769259.

Almost surely, 267430066929 is an apocalyptic number.

67430066929 is the 259673-rd square number.

67430066929 is the 129837-th centered octagonal number.

It is an amenable number.

67430066929 is a deficient number, since it is larger than the sum of its proper divisors (5067018074).

67430066929 is an frugal number, since it uses more digits than its factorization.

67430066929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 542 (or 271 counting only the distinct ones).

The product of its (nonzero) digits is 2939328, while the sum is 52.

The spelling of 67430066929 in words is "sixty-seven billion, four hundred thirty million, sixty-six thousand, nine hundred twenty-nine".

Divisors: 1 19 79 173 361 1501 3287 6241 13667 28519 29929 62453 118579 259673 568651 1079693 2253001 2364391 4933787 10804369 20514167 44923429 186786889 389769173 853545151 3548950891 67430066929