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42190586739 = 32731731392129
BaseRepresentation
bin100111010010110000…
…010100001101110011
311000220100000212120200
4213102300110031303
51142401242233424
631214310410243
73022344033030
oct472260241563
9130810025520
1042190586739
1116990539304
128215660983
133c94b69432
1420834b8387
15116de948c9
hex9d2c14373

42190586739 has 96 divisors (see below), whose sum is σ = 73438310400. Its totient is φ = 22835312640.

The previous prime is 42190586729. The next prime is 42190586749. The reversal of 42190586739 is 93768509124.

42190586739 is a `hidden beast` number, since 4 + 21 + 9 + 0 + 586 + 7 + 39 = 666.

It is an interprime number because it is at equal distance from previous prime (42190586729) and next prime (42190586749).

It is not a de Polignac number, because 42190586739 - 217 = 42190455667 is a prime.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (42190586729) 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 95 ways as a sum of consecutive naturals, for example, 19816027 + ... + 19818155.

It is an arithmetic number, because the mean of its divisors is an integer number (764982400).

It is a 1-persistent number, because it is pandigital, but 2⋅42190586739 = 84381173478 is not.

Almost surely, 242190586739 is an apocalyptic number.

42190586739 is a deficient number, since it is larger than the sum of its proper divisors (31247723661).

42190586739 is a wasteful number, since it uses less digits than its factorization.

42190586739 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2385 (or 2382 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 42190586739 in words is "forty-two billion, one hundred ninety million, five hundred eighty-six thousand, seven hundred thirty-nine".

Divisors: 1 3 7 9 21 31 63 73 93 139 217 219 279 417 511 651 657 973 1251 1533 1953 2129 2263 2919 4309 4599 6387 6789 8757 10147 12927 14903 15841 19161 20367 30163 30441 38781 44709 47523 65999 71029 90489 91323 134127 142569 155417 197997 213087 271467 295931 314557 461993 466251 593991 639261 887793 943671 1087919 1385979 1398753 2071517 2201899 2663379 2831013 3263757 4157937 4817927 6214551 6605697 9173861 9791271 14453781 18643653 19817091 21602963 27521583 33725489 43361343 64217027 64808889 82564749 101176467 151220741 192651081 194426667 303529401 453662223 577953243 669691853 1360986669 2009075559 4687842971 6027226677 14063528913 42190586739