Search a number
-
+
18814001347328 = 281121647308639
BaseRepresentation
bin1000100011100011110011…
…10111011111101100000000
32110121121020002202112102212
410101301321313133230000
54431222033321103303
6104003011035001252
73651160330555265
oct421617167375400
973547202675385
1018814001347328
115aa3a7830a480
12213a342b99228
13a661ca68a245
1449086147b26c
152295de497ad8
hex111c79ddfb00

18814001347328 has 72 divisors (see below), whose sum is σ = 40970582231040. Its totient is φ = 8551396029440.

The previous prime is 18814001347307. The next prime is 18814001347333. The reversal of 18814001347328 is 82374310041881.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 60803633 + ... + 61112271.

It is an arithmetic number, because the mean of its divisors is an integer number (569035864320).

Almost surely, 218814001347328 is an apocalyptic number.

It is an amenable number.

18814001347328 is an abundant number, since it is smaller than the sum of its proper divisors (22156580883712).

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

18814001347328 is a wasteful number, since it uses less digits than its factorization.

18814001347328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 330313 (or 330299 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 50.

The spelling of 18814001347328 in words is "eighteen trillion, eight hundred fourteen billion, one million, three hundred forty-seven thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 256 352 704 1408 2816 21647 43294 86588 173176 238117 308639 346352 476234 617278 692704 952468 1234556 1385408 1904936 2469112 2770816 3395029 3809872 4938224 5541632 6790058 7619744 9876448 13580116 15239488 19752896 27160232 30478976 39505792 54320464 60957952 79011584 108640928 217281856 434563712 869127424 6681108433 13362216866 26724433732 53448867464 73492192763 106897734928 146984385526 213795469856 293968771052 427590939712 587937542104 855181879424 1175875084208 1710363758848 2351750168416 4703500336832 9407000673664 18814001347328