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13776045675 = 3527791931721
BaseRepresentation
bin11001101010001110…
…11100011001101011
31022120002001121222220
430311013130121223
5211203131430200
610154552245123
7665245312320
oct146507343153
938502047886
1013776045675
11592a245017
1228056a07a3
1313b70b8622
1494985ab47
155596464a0
hex3351dc66b

13776045675 has 96 divisors (see below), whose sum is σ = 26511636480. Its totient is φ = 6182092800.

The previous prime is 13776045667. The next prime is 13776045677. The reversal of 13776045675 is 57654067731.

It is not a de Polignac number, because 13776045675 - 23 = 13776045667 is a prime.

It is not an unprimeable number, because it can be changed into a prime (13776045677) 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, 8003815 + ... + 8005535.

It is an arithmetic number, because the mean of its divisors is an integer number (276162880).

Almost surely, 213776045675 is an apocalyptic number.

13776045675 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

13776045675 is a deficient number, since it is larger than the sum of its proper divisors (12735590805).

13776045675 is a wasteful number, since it uses less digits than its factorization.

13776045675 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2013 (or 2008 counting only the distinct ones).

The product of its (nonzero) digits is 3704400, while the sum is 51.

The spelling of 13776045675 in words is "thirteen billion, seven hundred seventy-six million, forty-five thousand, six hundred seventy-five".

Divisors: 1 3 5 7 15 21 25 35 75 79 105 175 193 237 395 525 553 579 965 1185 1351 1659 1721 1975 2765 2895 4053 4825 5163 5925 6755 8295 8605 12047 13825 14475 15247 20265 25815 33775 36141 41475 43025 45741 60235 76235 101325 106729 129075 135959 180705 228705 301175 320187 332153 381175 407877 533645 679795 903525 951713 996459 1143525 1600935 1660765 2039385 2325071 2668225 2855139 3398975 4758565 4982295 6975213 8004675 8303825 10196925 11625355 14275695 23792825 24911475 26240087 34876065 58126775 71378475 78720261 131200435 174380325 183680609 393601305 551041827 656002175 918403045 1968006525 2755209135 4592015225 13776045675