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34121161773 = 3213012914097
BaseRepresentation
bin11111110001110001…
…111001110000101101
310021001221222121112100
4133301301321300231
51024340004134043
623401450525313
72315361042516
oct376161716055
9107057877470
1034121161773
111351a562956
126743136839
1332aa12946a
1419198dba0d
15d4a833cd3
hex7f1c79c2d

34121161773 has 12 divisors (see below), whose sum is σ = 49324022748. Its totient is φ = 22729948800.

The previous prime is 34121161759. The next prime is 34121161783. The reversal of 34121161773 is 37716112143.

It is a happy number.

34121161773 is a `hidden beast` number, since 34 + 1 + 2 + 1 + 1 + 617 + 7 + 3 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 87553449 + 34033608324 = 9357^2 + 184482^2 .

It is not a de Polignac number, because 34121161773 - 25 = 34121161741 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34121161783) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1445340 + ... + 1468757.

It is an arithmetic number, because the mean of its divisors is an integer number (4110335229).

Almost surely, 234121161773 is an apocalyptic number.

It is an amenable number.

34121161773 is a deficient number, since it is larger than the sum of its proper divisors (15202860975).

34121161773 is a wasteful number, since it uses less digits than its factorization.

34121161773 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2915404 (or 2915401 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The spelling of 34121161773 in words is "thirty-four billion, one hundred twenty-one million, one hundred sixty-one thousand, seven hundred seventy-three".

Divisors: 1 3 9 1301 3903 11709 2914097 8742291 26226873 3791240197 11373720591 34121161773