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85663318545 = 325710911322079
BaseRepresentation
bin100111111000111101…
…1101000001000010001
322012010000122110112200
41033301323220020101
52400414302143140
6103204142113413
76121550123250
oct1176173501021
9265100573480
1085663318545
113336978a132
121472857b869
13810252b88c
144208d86797
15236579e030
hex13f1ee8211

85663318545 has 96 divisors (see below), whose sum is σ = 172775116800. Its totient is φ = 38455990272.

The previous prime is 85663318519. The next prime is 85663318571. The reversal of 85663318545 is 54581336658.

It is a happy number.

85663318545 is a `hidden beast` number, since 8 + 5 + 6 + 63 + 31 + 8 + 545 = 666.

It is an interprime number because it is at equal distance from previous prime (85663318519) and next prime (85663318571).

It is not a de Polignac number, because 85663318545 - 28 = 85663318289 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 85663318491 and 85663318500.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 3868816 + ... + 3890894.

It is an arithmetic number, because the mean of its divisors is an integer number (1799740800).

Almost surely, 285663318545 is an apocalyptic number.

It is an amenable number.

85663318545 is an abundant number, since it is smaller than the sum of its proper divisors (87111798255).

85663318545 is a wasteful number, since it uses less digits than its factorization.

85663318545 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22319 (or 22316 counting only the distinct ones).

The product of its digits is 10368000, while the sum is 54.

The spelling of 85663318545 in words is "eighty-five billion, six hundred sixty-three million, three hundred eighteen thousand, five hundred forty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 109 113 315 327 339 545 565 763 791 981 1017 1635 1695 2289 2373 3815 3955 4905 5085 6867 7119 11445 11865 12317 22079 34335 35595 36951 61585 66237 86219 110395 110853 154553 184755 198711 258657 331185 431095 463659 554265 772765 775971 993555 1293285 1390977 2318295 2406611 2494927 3879855 6954885 7219833 7484781 12033055 12474635 16846277 17464489 21659499 22454343 36099165 37423905 50538831 52393467 84231385 87322445 108297495 112271715 151616493 157180401 252694155 261967335 271947043 758082465 785902005 815841129 1359735215 1903629301 2447523387 4079205645 5710887903 9518146505 12237616935 17132663709 28554439515 85663318545