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5347105364205 = 3351141172350971
BaseRepresentation
bin100110111001111100001…
…0100001101100011101101
3200221011210222002120222000
41031303320110031203231
51200101332433123310
615212232025042513
71061213153451033
oct115637024154355
920834728076860
105347105364205
111781770641120
1272437a926439
132ca2cb04c637
14146b309dc553
15941555954c0
hex4dcf850d8ed

5347105364205 has 128 divisors (see below), whose sum is σ = 10629448058880. Its totient is φ = 2527785792000.

The previous prime is 5347105364191. The next prime is 5347105364231. The reversal of 5347105364205 is 5024635017435.

5347105364205 is a `hidden beast` number, since 5 + 3 + 4 + 71 + 0 + 536 + 42 + 0 + 5 = 666.

It is not a de Polignac number, because 5347105364205 - 213 = 5347105356013 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 104879370 + ... + 104930340.

It is an arithmetic number, because the mean of its divisors is an integer number (83042562960).

Almost surely, 25347105364205 is an apocalyptic number.

5347105364205 is a gapful number since it is divisible by the number (55) formed by its first and last digit.

It is an amenable number.

5347105364205 is a deficient number, since it is larger than the sum of its proper divisors (5282342694675).

5347105364205 is a wasteful number, since it uses less digits than its factorization.

5347105364205 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52760 (or 52754 counting only the distinct ones).

The product of its (nonzero) digits is 1512000, while the sum is 45.

The spelling of 5347105364205 in words is "five trillion, three hundred forty-seven billion, one hundred five million, three hundred sixty-four thousand, two hundred five".

Divisors: 1 3 5 9 11 15 27 33 41 45 55 99 123 135 165 205 297 369 451 495 615 1107 1353 1485 1723 1845 2255 4059 5169 5535 6765 8615 12177 15507 18953 20295 25845 46521 50971 56859 60885 70643 77535 94765 152913 170577 211929 232605 254855 284295 353215 458739 511731 560681 635787 764565 777073 852885 1059645 1376217 1682043 1907361 2089811 2293695 2331219 2558655 2803405 3178935 3885365 5046129 6269433 6881085 6993657 8410215 9536805 10449055 11656095 15138387 18808299 20980971 22987921 25230645 31347165 34968285 56424897 68963763 75691935 87823033 94041495 104904855 114939605 206891289 263469099 282124485 344818815 439115165 620673867 790407297 966053363 1034456445 1317345495 2371221891 2898160089 3103369335 3600744353 3952036485 4830266815 8694480267 10802233059 11856109455 14490800445 18003721765 26083440801 32406699177 39608187883 43472401335 54011165295 97220097531 118824563649 130417204005 162033495885 198040939415 356473690947 486100487655 594122818245 1069421072841 1782368454735 5347105364205