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18970759845 = 3353135389
BaseRepresentation
bin10001101010101111…
…101101001010100101
31210222002211110012000
4101222233231022211
5302323003303340
612414241115513
71241053540512
oct215257551245
953862743160
1018970759845
118055554724
123815328b99
131a343a05ab
14cbd726309
15760710d30
hex46abed2a5

18970759845 has 128 divisors (see below), whose sum is σ = 35906457600. Its totient is φ = 9498677760.

The previous prime is 18970759811. The next prime is 18970759849. The reversal of 18970759845 is 54895707981.

It is not a de Polignac number, because 18970759845 - 211 = 18970757797 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18970759849) 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 127 ways as a sum of consecutive naturals, for example, 213154561 + ... + 213154649.

It is an arithmetic number, because the mean of its divisors is an integer number (280519200).

Almost surely, 218970759845 is an apocalyptic number.

18970759845 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

18970759845 is a deficient number, since it is larger than the sum of its proper divisors (16935697755).

18970759845 is an frugal number, since it uses more digits than its factorization.

18970759845 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249 (or 181 counting only the distinct ones).

The product of its (nonzero) digits is 25401600, while the sum is 63.

The spelling of 18970759845 in words is "eighteen billion, nine hundred seventy million, seven hundred fifty-nine thousand, eight hundred forty-five".

Divisors: 1 3 5 9 15 27 31 45 53 89 93 135 155 159 265 267 279 445 465 477 795 801 837 961 1335 1395 1431 1643 2385 2403 2759 2883 4005 4185 4717 4805 4929 7155 8215 8277 8649 12015 13795 14151 14415 14787 23585 24645 24831 25947 29791 41385 42453 43245 44361 50933 70755 73935 74493 85529 89373 124155 127359 129735 146227 148955 152799 212265 221805 254665 256587 268119 372465 427645 438681 446865 458397 636795 731135 763995 769761 804357 1282935 1316043 1340595 1375191 1578923 2193405 2291985 2309283 2651399 3848805 3948129 4021785 4533037 4736769 6580215 6875955 7894615 7954197 11546415 13256995 13599111 14210307 19740645 22665185 23683845 23862591 39770985 40797333 42630921 67995555 71051535 71587773 119312955 122391999 140524147 203986665 213154605 357938865 421572441 611959995 702620735 1264717323 2107862205 3794151969 6323586615 18970759845