Search a number
-
+
1381205169288 = 233278333017909
BaseRepresentation
bin10100000110010110001…
…111100101010010001000
311220001010120012110200200
4110012112033211102020
5140112202010404123
62534303352132200
7201534360141150
oct24062617452210
94801116173620
101381205169288
1149284734584a
121a382a997060
13a0329b13579
144abca3db760
1525ddd101143
hex141963e5488

1381205169288 has 96 divisors (see below), whose sum is σ = 4326666926400. Its totient is φ = 389875457664.

The previous prime is 1381205169277. The next prime is 1381205169349. The reversal of 1381205169288 is 8829615021831.

1381205169288 is a `hidden beast` number, since 1 + 3 + 81 + 20 + 516 + 9 + 28 + 8 = 666.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 16467123 + ... + 16550786.

It is an arithmetic number, because the mean of its divisors is an integer number (45069447150).

Almost surely, 21381205169288 is an apocalyptic number.

1381205169288 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1381205169288 is an abundant number, since it is smaller than the sum of its proper divisors (2945461757112).

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

1381205169288 is a wasteful number, since it uses less digits than its factorization.

1381205169288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33018011 (or 33018004 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 1381205169288 in words is "one trillion, three hundred eighty-one billion, two hundred five million, one hundred sixty-nine thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 28 36 42 56 63 72 83 84 126 166 168 249 252 332 498 504 581 664 747 996 1162 1494 1743 1992 2324 2988 3486 4648 5229 5976 6972 10458 13944 20916 41832 33017909 66035818 99053727 132071636 198107454 231125363 264143272 297161181 396214908 462250726 594322362 693376089 792429816 924501452 1188644724 1386752178 1849002904 2080128267 2377289448 2740486447 2773504356 4160256534 5480972894 5547008712 8221459341 8320513068 10961945788 16442918682 16641026136 19183405129 21923891576 24664378023 32885837364 38366810258 49328756046 57550215387 65771674728 76733620516 98657512092 115100430774 153467241032 172650646161 197315024184 230200861548 345301292322 460401723096 690602584644 1381205169288