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14706313313553 = 32193173191198971
BaseRepresentation
bin1101011000000001010010…
…0101001011110100010001
31221001220120021000220120100
43112000110211023310101
53411422012202013203
651135553112403013
73045332103432051
oct326002445136421
957056507026510
1014706313313553
11475aa04522194
1217962226a6469
13828a51369584
1438bb0a01d561
151a782937bea3
hexd601494bd11

14706313313553 has 96 divisors (see below), whose sum is σ = 23520591544320. Its totient is φ = 8818987104000.

The previous prime is 14706313313509. The next prime is 14706313313569. The reversal of 14706313313553 is 35531331360741.

14706313313553 is a `hidden beast` number, since 1 + 4 + 7 + 0 + 63 + 1 + 3 + 31 + 3 + 553 = 666.

It is a de Polignac number, because none of the positive numbers 2k-14706313313553 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 14706313313499 and 14706313313508.

It is not an unprimeable number, because it can be changed into a prime (14706313313353) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 73812358 + ... + 74011328.

It is an arithmetic number, because the mean of its divisors is an integer number (245006161920).

Almost surely, 214706313313553 is an apocalyptic number.

It is an amenable number.

14706313313553 is a deficient number, since it is larger than the sum of its proper divisors (8814278230767).

14706313313553 is a wasteful number, since it uses less digits than its factorization.

14706313313553 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199291 (or 199288 counting only the distinct ones).

The product of its (nonzero) digits is 1020600, while the sum is 45.

The spelling of 14706313313553 in words is "fourteen trillion, seven hundred six billion, three hundred thirteen million, three hundred thirteen thousand, five hundred fifty-three".

Divisors: 1 3 9 19 31 57 73 93 171 191 219 279 573 589 657 1387 1719 1767 2263 3629 4161 5301 5921 6789 10887 12483 13943 17763 20367 32661 41829 42997 53289 112499 125487 128991 198971 264917 337497 386973 432233 596913 794751 1012491 1296699 1790739 2384253 3780449 3890097 6168101 8212427 11341347 14524883 18504303 24637281 34024041 38003461 43574649 55512909 73911843 114010383 117193919 130723947 275972777 342031149 351581757 450271373 722065759 827918331 1054745271 1178107291 1350814119 2166197277 2483754993 2774252653 3534321873 4052442357 6498591831 8322757959 8555156087 10602965619 22384038529 24968273877 25665468261 52710800407 67152115587 76996404783 86001832243 158132401221 201456346761 258005496729 474397203663 774016490187 1634034812617 4902104437851 14706313313553