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49296000075 = 3527599831619
BaseRepresentation
bin101101111010010001…
…010100010001001011
311201020112010021021120
4231322101110101023
51301424234000300
634351332210323
73363413041560
oct557221242113
9151215107246
1049296000075
11199a7341533
1296791699a3
134857c5cb1a
142559034867
151437b823a0
hexb7a45444b

49296000075 has 96 divisors (see below), whose sum is σ = 94879641600. Its totient is φ = 22117153920.

The previous prime is 49296000071. The next prime is 49296000097. The reversal of 49296000075 is 57000069294.

It is not a de Polignac number, because 49296000075 - 22 = 49296000071 is a prime.

It is not an unprimeable number, because it can be changed into a prime (49296000071) 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 95 ways as a sum of consecutive naturals, for example, 30447616 + ... + 30449234.

It is an arithmetic number, because the mean of its divisors is an integer number (988329600).

Almost surely, 249296000075 is an apocalyptic number.

49296000075 is a deficient number, since it is larger than the sum of its proper divisors (45583641525).

49296000075 is a wasteful number, since it uses less digits than its factorization.

49296000075 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2681 (or 2676 counting only the distinct ones).

The product of its (nonzero) digits is 136080, while the sum is 42.

The spelling of 49296000075 in words is "forty-nine billion, two hundred ninety-six million, seventy-five", and thus it is an aban number.

Divisors: 1 3 5 7 15 21 25 35 59 75 105 175 177 295 413 525 885 983 1239 1475 1619 2065 2949 4425 4857 4915 6195 6881 8095 10325 11333 14745 20643 24285 24575 30975 33999 34405 40475 56665 57997 73725 95521 103215 121425 169995 172025 173991 283325 286563 289985 405979 477605 516075 668647 849975 869955 1217937 1432815 1449925 1591477 2005941 2029895 2388025 3343235 4349775 4774431 6089685 7164075 7957385 10029705 10149475 11140339 16716175 23872155 30448425 33421017 39786925 50148525 55701695 93897143 119360775 167105085 278508475 281691429 469485715 657280001 835525425 1408457145 1971840003 2347428575 3286400005 7042285725 9859200015 16432000025 49296000075