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5179938309 = 337134434759
BaseRepresentation
bin1001101001011111…
…11001011000000101
3111100222222010112000
410310233321120011
541102031011214
62214000015513
7242235514650
oct46457713005
914328863460
105179938309
112218a38357
121006901599
13647210670
14371d40897
15204b4b809
hex134bf9605

5179938309 has 64 divisors (see below), whose sum is σ = 9468211200. Its totient is φ = 2725534656.

The previous prime is 5179938287. The next prime is 5179938343. The reversal of 5179938309 is 9038399715.

5179938309 is a `hidden beast` number, since 517 + 9 + 93 + 8 + 30 + 9 = 666.

5179938309 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 5179938309 - 229 = 4643067397 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5179938349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1086072 + ... + 1090830.

It is an arithmetic number, because the mean of its divisors is an integer number (147940800).

Almost surely, 25179938309 is an apocalyptic number.

It is an amenable number.

5179938309 is a deficient number, since it is larger than the sum of its proper divisors (4288272891).

5179938309 is a wasteful number, since it uses less digits than its factorization.

5179938309 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5231 (or 5225 counting only the distinct ones).

The product of its (nonzero) digits is 1837080, while the sum is 54.

The square root of 5179938309 is about 71971.7882854108. The cubic root of 5179938309 is about 1730.2473622483.

The spelling of 5179938309 in words is "five billion, one hundred seventy-nine million, nine hundred thirty-eight thousand, three hundred nine".

Divisors: 1 3 7 9 13 21 27 39 63 91 117 189 273 351 443 819 1329 2457 3101 3987 4759 5759 9303 11961 14277 17277 27909 33313 40313 42831 51831 61867 83727 99939 120939 128493 155493 185601 299817 362817 433069 556803 899451 1088451 1299207 1670409 2108237 3897621 6324711 11692863 14757659 18974133 27407081 44272977 56922399 82221243 132818931 191849567 246663729 398456793 575548701 739991187 1726646103 5179938309