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13027881405 = 35711174116183
BaseRepresentation
bin11000010001000010…
…11011000110111101
31020121221020221120010
430020201123012331
5203140114201110
65552424413433
7640562110350
oct141041330675
936557227503
1013027881405
115585999140
122637017279
1312c80b4586
148b8346297
15513b0d020
hex30885b1bd

13027881405 has 128 divisors (see below), whose sum is σ = 28189679616. Its totient is φ = 4971110400.

The previous prime is 13027881403. The next prime is 13027881437. The reversal of 13027881405 is 50418872031.

It is not a de Polignac number, because 13027881405 - 21 = 13027881403 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13027881403) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 796944 + ... + 813126.

It is an arithmetic number, because the mean of its divisors is an integer number (220231872).

Almost surely, 213027881405 is an apocalyptic number.

13027881405 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

13027881405 is an abundant number, since it is smaller than the sum of its proper divisors (15161798211).

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

13027881405 is a wasteful number, since it uses less digits than its factorization.

13027881405 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16267.

The product of its (nonzero) digits is 53760, while the sum is 39.

The spelling of 13027881405 in words is "thirteen billion, twenty-seven million, eight hundred eighty-one thousand, four hundred five".

Divisors: 1 3 5 7 11 15 17 21 33 35 41 51 55 77 85 105 119 123 165 187 205 231 255 287 357 385 451 561 595 615 697 861 935 1155 1309 1353 1435 1785 2091 2255 2805 3157 3485 3927 4305 4879 6545 6765 7667 9471 10455 14637 15785 16183 19635 23001 24395 38335 47355 48549 53669 73185 80915 113281 115005 161007 178013 242745 268345 275111 339843 534039 566405 663503 805035 825333 890065 1246091 1375555 1699215 1925777 1990509 2670195 3026221 3317515 3738273 4126665 4644521 5777331 6230455 7298533 9078663 9628885 9952545 11279551 13933563 15131105 18691365 21183547 21895599 23222605 28886655 33838653 36492665 45393315 51089731 56397755 63550641 69667815 78956857 105917735 109477995 124075061 153269193 169193265 236870571 255448655 317753205 372225183 394784285 620375305 766345965 868525427 1184352855 1861125915 2605576281 4342627135 13027881405