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67083438076 = 2271795235717
BaseRepresentation
bin111110011110011111…
…000000011111111100
320102011011022202001121
4332132133000133330
52044341330004301
650452342520324
74563250546444
oct763637003774
9212134282047
1067083438076
11264a4940a16
12110021360a4
136431128375
14336552d124
151b2954e3a1
hexf9e7c07fc

67083438076 has 48 divisors (see below), whose sum is σ = 120808074240. Its totient is φ = 32582571840.

The previous prime is 67083438067. The next prime is 67083438077.

67083438076 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×670834380764 (a number of 44 digits) contains 4444 as substring.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (67083438077) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 11731170 + ... + 11736886.

It is an arithmetic number, because the mean of its divisors is an integer number (2516834880).

Almost surely, 267083438076 is an apocalyptic number.

It is an amenable number.

67083438076 is a deficient number, since it is larger than the sum of its proper divisors (53724636164).

67083438076 is a wasteful number, since it uses less digits than its factorization.

67083438076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6394 (or 6392 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 52.

The spelling of 67083438076 in words is "sixty-seven billion, eighty-three million, four hundred thirty-eight thousand, seventy-six".

Divisors: 1 2 4 71 79 142 158 284 316 523 1046 2092 5609 5717 11218 11434 22436 22868 37133 41317 74266 82634 148532 165268 405907 451643 811814 903286 1623628 1806572 2933507 2989991 5867014 5979982 11734028 11959964 32066653 64133306 128266612 212289361 236209289 424578722 472418578 849157444 944837156 16770859519 33541719038 67083438076