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67141619689 = 53248892
BaseRepresentation
bin111110100001111100…
…111100111111101001
320102022012210200020011
4332201330330333221
52100001223312224
650502221531521
74564555231234
oct764174747751
9212265720204
1067141619689
112652476a6a1
1211019713ba1
1364401b9761
14336d15641b
151b2e6e3394
hexfa1f3cfe9

67141619689 has 9 divisors (see below), whose sum is σ = 68446345093. Its totient is φ = 65861322592.

The previous prime is 67141619647. The next prime is 67141619707. The reversal of 67141619689 is 98691614176.

The square root of 67141619689 is 259117.

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 11873371225 + 55268248464 = 108965^2 + 235092^2 .

It is a de Polignac number, because none of the positive numbers 2k-67141619689 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (67141619609) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 13730757 + ... + 13735645.

Almost surely, 267141619689 is an apocalyptic number.

67141619689 is the 259117-th square number.

67141619689 is the 129559-th centered octagonal number.

It is an amenable number.

67141619689 is a deficient number, since it is larger than the sum of its proper divisors (1304725404).

67141619689 is an frugal number, since it uses more digits than its factorization.

67141619689 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9884 (or 4942 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 58.

The spelling of 67141619689 in words is "sixty-seven billion, one hundred forty-one million, six hundred nineteen thousand, six hundred eighty-nine".

Divisors: 1 53 2809 4889 259117 13733201 23902321 1266823013 67141619689