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18087354043929 = 3452129072
BaseRepresentation
bin1000001110011010010100…
…10100000000111000011001
32101001010121210122212110000
410013031022110000320121
54332320400113401204
6102245114333243213
73544524331443462
oct407151224007031
971033553585400
1018087354043929
115843892904395
12204154a333509
13a1282662b171
1446760b103d69
15215760cc8039
hex10734a500e19

18087354043929 has 45 divisors (see below), whose sum is σ = 27101220919311. Its totient is φ = 12021822502560.

The previous prime is 18087354043919. The next prime is 18087354043933. The reversal of 18087354043929 is 92934045378081.

The square root of 18087354043929 is 4252923.

It is a perfect power (a square), and thus also a powerful number.

18087354043929 is a `hidden beast` number, since 1 + 8 + 0 + 87 + 3 + 540 + 4 + 3 + 9 + 2 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5186901485529 + 12900452558400 = 2277477^2 + 3591720^2 .

It is not a de Polignac number, because 18087354043929 - 211 = 18087354041881 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18087354043919) by changing a digit.

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 44 ways as a sum of consecutive naturals, for example, 19941955494 + ... + 19941956400.

Almost surely, 218087354043929 is an apocalyptic number.

18087354043929 is the 4252923-rd square number.

18087354043929 is the 2126462-nd centered octagonal number.

It is an amenable number.

18087354043929 is a deficient number, since it is larger than the sum of its proper divisors (9013866875382).

18087354043929 is an frugal number, since it uses more digits than its factorization.

18087354043929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2868 (or 1431 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 18087354043929 in words is "eighteen trillion, eighty-seven billion, three hundred fifty-four million, forty-three thousand, nine hundred twenty-nine".

Divisors: 1 3 9 27 81 521 907 1563 2721 4689 8163 14067 24489 42201 73467 271441 472547 814323 822649 1417641 2442969 2467947 4252923 7328907 7403841 12758769 21986721 22211523 38276307 66634569 246196987 428600129 738590961 1285800387 2215772883 3857401161 6647318649 11572203483 19941955947 34716610449 223300667209 669902001627 2009706004881 6029118014643 18087354043929