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5382793329184 = 25107218181173
BaseRepresentation
bin100111001010100011101…
…1110111111101000100000
3201001120221010022001102201
41032111013132333220200
51201142430043013214
615240453210022544
71063615431242125
oct116250736775040
921046833261381
105382793329184
111795914561457
1272b27a717a54
1330079795a78b
1414875862c74c
159504371c274
hex4e5477bfa20

5382793329184 has 72 divisors (see below), whose sum is σ = 10756574707788. Its totient is φ = 2651480133120.

The previous prime is 5382793329131. The next prime is 5382793329217. The reversal of 5382793329184 is 4819233972835.

It can be written as a sum of positive squares in 2 ways, for example, as 4282333584400 + 1100459744784 = 2069380^2 + 1049028^2 .

It is a super-3 number, since 3×53827933291843 (a number of 39 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 11 ways as a sum of consecutive naturals, for example, 66272022 + ... + 66353194.

Almost surely, 25382793329184 is an apocalyptic number.

It is an amenable number.

5382793329184 is a deficient number, since it is larger than the sum of its proper divisors (5373781378604).

5382793329184 is a wasteful number, since it uses less digits than its factorization.

5382793329184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81578 (or 81463 counting only the distinct ones).

The product of its digits is 78382080, while the sum is 64.

The spelling of 5382793329184 in words is "five trillion, three hundred eighty-two billion, seven hundred ninety-three million, three hundred twenty-nine thousand, one hundred eighty-four".

Divisors: 1 2 4 8 16 32 107 181 214 362 428 724 856 1448 1712 2896 3424 5792 11449 19367 22898 38734 45796 77468 81173 91592 154936 162346 183184 309872 324692 366368 619744 649384 1298768 2072269 2597536 4144538 8289076 8685511 14692313 16578152 17371022 29384626 33156304 34742044 58769252 66312608 69484088 117538504 138968176 235077008 277936352 470154016 929349677 1572077491 1858699354 3144154982 3717398708 6288309964 7434797416 12576619928 14869594832 25153239856 29739189664 50306479712 168212291537 336424583074 672849166148 1345698332296 2691396664592 5382793329184