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6105138039 = 32711131739863
BaseRepresentation
bin1011010111110010…
…10000001101110111
3120202110220010221200
411223321100031313
5100000403404124
62445450143543
7304201550160
oct55371201567
916673803850
106105138039
112653211630
121224721bb3
13763abb120
1441cb7a767
1525aea4bc9
hex16be50377

6105138039 has 96 divisors (see below), whose sum is σ = 12537068544. Its totient is φ = 2755261440.

The previous prime is 6105138037. The next prime is 6105138077. The reversal of 6105138039 is 9308315016.

It is a happy number.

6105138039 is a `hidden beast` number, since 61 + 0 + 513 + 80 + 3 + 9 = 666.

It is not a de Polignac number, because 6105138039 - 21 = 6105138037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 6105137994 and 6105138012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6105138037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 133222 + ... + 173084.

It is an arithmetic number, because the mean of its divisors is an integer number (130594464).

Almost surely, 26105138039 is an apocalyptic number.

6105138039 is an abundant number, since it is smaller than the sum of its proper divisors (6431930505).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

6105138039 is a wasteful number, since it uses less digits than its factorization.

6105138039 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39917 (or 39914 counting only the distinct ones).

The product of its (nonzero) digits is 19440, while the sum is 36.

The square root of 6105138039 is about 78135.3827596691. The cubic root of 6105138039 is about 1827.6729994552.

The spelling of 6105138039 in words is "six billion, one hundred five million, one hundred thirty-eight thousand, thirty-nine".

Divisors: 1 3 7 9 11 13 17 21 33 39 51 63 77 91 99 117 119 143 153 187 221 231 273 357 429 561 663 693 819 1001 1071 1287 1309 1547 1683 1989 2431 3003 3927 4641 7293 9009 11781 13923 17017 21879 39863 51051 119589 153153 279041 358767 438493 518219 677671 837123 1315479 1554657 2033013 2511369 3069451 3627533 3946437 4663971 4743697 5700409 6099039 7454381 8809723 9208353 10882599 14231091 17101227 22363143 26429169 27625059 32647797 39902863 42693273 51303681 52180667 61668061 67089429 79287507 96906953 119708589 156542001 185004183 290720859 359125767 469626003 555012549 678348671 872162577 2035046013 6105138039