Search a number
-
+
66869047751985 = 325127157405118397
BaseRepresentation
bin11110011010001001010011…
…10101100111010100110001
322202202121200220121001000200
433031010221311213110301
532231040302211030420
6354115114430505413
720041062224443203
oct1715045165472461
9282677626531020
1066869047751985
111a341005202296
1275bb804965269
132b40954c4421b
14127269cc26773
157ae63da40b90
hex3cd129d67531

66869047751985 has 96 divisors (see below), whose sum is σ = 117598480576512. Its totient is φ = 35146720627200.

The previous prime is 66869047751977. The next prime is 66869047751993. The reversal of 66869047751985 is 58915774096866.

It is a happy number.

66869047751985 is a `hidden beast` number, since 6 + 6 + 8 + 6 + 9 + 0 + 477 + 51 + 98 + 5 = 666.

It is an interprime number because it is at equal distance from previous prime (66869047751977) and next prime (66869047751993).

It is not a de Polignac number, because 66869047751985 - 23 = 66869047751977 is a prime.

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, 3634770807 + ... + 3634789203.

It is an arithmetic number, because the mean of its divisors is an integer number (1224984172672).

Almost surely, 266869047751985 is an apocalyptic number.

It is an amenable number.

66869047751985 is a deficient number, since it is larger than the sum of its proper divisors (50729432824527).

66869047751985 is a wasteful number, since it uses less digits than its factorization.

66869047751985 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 22743 (or 22740 counting only the distinct ones).

The product of its (nonzero) digits is 5486745600, while the sum is 81.

The spelling of 66869047751985 in words is "sixty-six trillion, eight hundred sixty-nine billion, forty-seven million, seven hundred fifty-one thousand, nine hundred eighty-five".

Divisors: 1 3 5 9 15 45 127 157 381 471 635 785 1143 1413 1905 2355 4051 5715 7065 12153 18397 19939 20255 36459 55191 59817 60765 91985 99695 165573 179451 182295 275955 299085 514477 636007 827865 897255 1543431 1908021 2336419 2572385 2888329 3180035 4630293 5724063 7009257 7717155 8664987 9540105 11682095 14441645 21027771 23151465 25994961 28620315 35046285 43324935 74526247 80772889 105138855 129974805 223578741 242318667 366817783 372631235 403864445 670736223 726956001 1100453349 1117893705 1211593335 1834088915 3301360047 3353681115 3634780005 5502266745 9464833369 11700620779 16506800235 28394500107 35101862337 47324166845 58503103895 85183500321 105305587011 141972500535 175509311685 425917501605 526527935055 1485978838933 4457936516799 7429894194665 13373809550397 22289682583995 66869047751985