Search a number
-
+
27144976599631 = 1123412761194777
BaseRepresentation
bin1100010110000001011101…
…01100000000101001001111
310120010000221002110211002001
412023000232230000221033
512024220403002142011
6133422121411213131
75501105553035212
oct613005654005117
9116100832424061
1027144976599631
118716135693480
123064a658a71a7
13121b9b6528b57
1469bb76a11779
153211831397c1
hex18b02eb00a4f

27144976599631 has 32 divisors (see below), whose sum is σ = 31655354605056. Its totient is φ = 23027535168000.

The previous prime is 27144976599617. The next prime is 27144976599641. The reversal of 27144976599631 is 13699567944172.

It is not a de Polignac number, because 27144976599631 - 215 = 27144976566863 is a prime.

It is a super-2 number, since 2×271449765996312 (a number of 28 digits) contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (27144976599641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 286361515 + ... + 286456291.

It is an arithmetic number, because the mean of its divisors is an integer number (989229831408).

Almost surely, 227144976599631 is an apocalyptic number.

27144976599631 is a deficient number, since it is larger than the sum of its proper divisors (4510378005425).

27144976599631 is a wasteful number, since it uses less digits than its factorization.

27144976599631 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 122463.

The product of its digits is 617258880, while the sum is 73.

The spelling of 27144976599631 in words is "twenty-seven trillion, one hundred forty-four billion, nine hundred seventy-six million, five hundred ninety-nine thousand, six hundred thirty-one".

Divisors: 1 11 23 41 253 451 943 10373 27611 94777 303721 635053 1042547 1132051 2179871 3885857 6985583 12452561 23978581 26037173 42744427 89374711 286408903 983121821 2616887747 28785765217 60188418181 107292397627 662072599991 1180216373897 2467725145421 27144976599631