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5345144853075 = 32521771109180569
BaseRepresentation
bin100110111001000001101…
…1101011101001001010011
3200220222202100001022021200
41031302003131131021103
51200033324040244300
615211305312322243
71061113446415116
oct115620335351123
920828670038250
105345144853075
111780954a16095
12723b12243383
132ca077b20291
141469c64a257d
159408d3d3200
hex4dc8375d253

5345144853075 has 144 divisors (see below), whose sum is σ = 10374049857600. Its totient is φ = 2620980633600.

The previous prime is 5345144853053. The next prime is 5345144853079. The reversal of 5345144853075 is 5703584415435.

It is a happy number.

5345144853075 is a `hidden beast` number, since 5 + 3 + 4 + 514 + 4 + 8 + 53 + 0 + 75 = 666.

It is not a de Polignac number, because 5345144853075 - 25 = 5345144853043 is a prime.

It is not an unprimeable number, because it can be changed into a prime (5345144853079) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 29511391 + ... + 29691959.

It is an arithmetic number, because the mean of its divisors is an integer number (72042012900).

Almost surely, 25345144853075 is an apocalyptic number.

5345144853075 is a deficient number, since it is larger than the sum of its proper divisors (5028905004525).

5345144853075 is a wasteful number, since it uses less digits than its factorization.

5345144853075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180782 (or 180774 counting only the distinct ones).

The product of its (nonzero) digits is 20160000, while the sum is 54.

The spelling of 5345144853075 in words is "five trillion, three hundred forty-five billion, one hundred forty-four million, eight hundred fifty-three thousand, seventy-five".

Divisors: 1 3 5 9 15 17 25 45 51 71 75 85 109 153 213 225 255 327 355 425 545 639 765 981 1065 1207 1275 1635 1775 1853 2725 3195 3621 3825 4905 5325 5559 6035 7739 8175 9265 10863 15975 16677 18105 23217 24525 27795 30175 38695 46325 54315 69651 83385 90525 116085 131563 138975 180569 193475 271575 348255 394689 416925 541707 580425 657815 902845 1184067 1625121 1741275 1973445 2708535 3069673 3289075 4514225 5920335 8125605 9209019 9867225 12820399 13542675 15348365 19682021 27627057 29601675 38461197 40628025 46045095 59046063 64101995 76741825 98410105 115383591 138135285 177138189 192305985 217946783 230225475 295230315 320509975 334594357 492050525 576917955 653840349 690676425 885690945 961529925 1003783071 1089733915 1397423491 1476151575 1672971785 1961521047 2884589775 3011349213 3269201745 4192270473 4428454725 5018915355 5448669575 6987117455 8364858925 9807605235 12576811419 15056746065 16346008725 20961352365 23756199347 25094576775 34935587275 49038026175 62884057095 71268598041 75283730325 104806761825 118780996735 213805794123 314420285475 356342990205 593904983675 1069028970615 1781714951025 5345144853075