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2054630414529 = 327112281959183
BaseRepresentation
bin11101111001100001100…
…001000001100011000001
321021102100201121110012100
4131321201201001203001
5232130340341231104
64211514552221013
7301304441236440
oct35714141014301
97242321543170
102054630414529
11722400339900
1229224b69a769
1311b99b70cc44
1471632156d57
15386a4122139
hex1de618418c1

2054630414529 has 72 divisors (see below), whose sum is σ = 3741416130816. Its totient is φ = 1063541001600.

The previous prime is 2054630414527. The next prime is 2054630414537. The reversal of 2054630414529 is 9254140364502.

2054630414529 is a `hidden beast` number, since 2 + 0 + 5 + 4 + 630 + 4 + 1 + 4 + 5 + 2 + 9 = 666.

It is not a de Polignac number, because 2054630414529 - 21 = 2054630414527 is a prime.

It is a super-2 number, since 2×20546304145292 (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (2054630414521) 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 71 ways as a sum of consecutive naturals, for example, 1662472 + ... + 2621654.

It is an arithmetic number, because the mean of its divisors is an integer number (51964112928).

Almost surely, 22054630414529 is an apocalyptic number.

It is an amenable number.

2054630414529 is a deficient number, since it is larger than the sum of its proper divisors (1686785716287).

2054630414529 is a wasteful number, since it uses less digits than its factorization.

2054630414529 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 959499 (or 959485 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 45.

The spelling of 2054630414529 in words is "two trillion, fifty-four billion, six hundred thirty million, four hundred fourteen thousand, five hundred twenty-nine".

Divisors: 1 3 7 9 11 21 33 63 77 99 121 231 281 363 693 843 847 1089 1967 2529 2541 3091 5901 7623 9273 17703 21637 27819 34001 64911 102003 194733 238007 306009 714021 959183 2142063 2877549 6714281 8632647 10551013 20142843 31653039 60428529 73857091 94959117 116061143 221571273 269530423 348183429 664713819 808591269 812428001 1044550287 1886712961 2425773807 2437284003 2964834653 5660138883 7311852009 8894503959 16980416649 20753842571 26683511877 32613181183 62261527713 97839543549 186784583139 228292268281 293518630647 684876804843 2054630414529