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13387528665 = 3357113283443
BaseRepresentation
bin11000111011111010…
…10111100111011001
31021112222222220212000
430131331113213121
5204404201404130
610052233111213
7652520054550
oct143575274731
937488886760
1013387528665
11574aa02485
122717558509
1313547678c4
14910004d97
155354a0260
hex31df579d9

13387528665 has 128 divisors (see below), whose sum is σ = 27599892480. Its totient is φ = 6030775296.

The previous prime is 13387528613. The next prime is 13387528681. The reversal of 13387528665 is 56682578331.

13387528665 is a `hidden beast` number, since 1 + 33 + 87 + 528 + 6 + 6 + 5 = 666.

It is not a de Polignac number, because 13387528665 - 29 = 13387528153 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 30219934 + ... + 30220376.

It is an arithmetic number, because the mean of its divisors is an integer number (215624160).

Almost surely, 213387528665 is an apocalyptic number.

13387528665 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13387528665 is an abundant number, since it is smaller than the sum of its proper divisors (14212363815).

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

13387528665 is a wasteful number, since it uses less digits than its factorization.

13387528665 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 860 (or 854 counting only the distinct ones).

The product of its digits is 7257600, while the sum is 54.

The spelling of 13387528665 in words is "thirteen billion, three hundred eighty-seven million, five hundred twenty-eight thousand, six hundred sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 105 113 135 189 283 315 339 443 565 791 849 945 1017 1329 1415 1695 1981 2215 2373 2547 3051 3101 3955 3987 4245 5085 5943 6645 7119 7641 9303 9905 11865 11961 12735 15255 15505 17829 19935 21357 27909 29715 31979 35595 38205 46515 50059 53487 59805 83727 89145 95937 106785 125369 139545 150177 159895 223853 250295 267435 287811 350413 376107 418635 450531 479685 626845 671559 750885 863433 877583 1051239 1119265 1128321 1351593 1439055 1752065 1880535 2014677 2252655 2632749 3153717 3357795 3384963 4317165 4387915 5256195 5641605 6044031 6757965 7898247 9461151 10073385 13163745 14166697 15768585 16924815 23694741 30220155 39491235 42500091 47305755 70833485 99166879 118473705 127500273 212500455 297500637 382500819 495834395 637501365 892501911 1487503185 1912504095 2677505733 4462509555 13387528665