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66608208254848 = 2713217181126567
BaseRepresentation
bin11110010010100011011101…
…00101111001011110000000
322201211200102120001200012111
433021101232211321132000
532212302102303123343
6353355215523105104
720013166331343031
oct1711215645713600
9281750376050174
1066608208254848
111a2504230a6447
12757914a212194
132b22186296300
141263bd69a4a88
157a79742ddc9d
hex3c946e979780

66608208254848 has 96 divisors (see below), whose sum is σ = 152140883322960. Its totient is φ = 28933882159104.

The previous prime is 66608208254843. The next prime is 66608208254957. The reversal of 66608208254848 is 84845280280666.

66608208254848 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (67) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66608208254843) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 90195540 + ... + 90931027.

Almost surely, 266608208254848 is an apocalyptic number.

66608208254848 is a gapful number since it is divisible by the number (68) formed by its first and last digit.

It is an amenable number.

66608208254848 is an abundant number, since it is smaller than the sum of its proper divisors (85532675068112).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66608208254848 is a wasteful number, since it uses less digits than its factorization.

66608208254848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181126624 (or 181126599 counting only the distinct ones).

The product of its (nonzero) digits is 283115520, while the sum is 67.

The spelling of 66608208254848 in words is "sixty-six trillion, six hundred eight billion, two hundred eight million, two hundred fifty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 17 26 32 34 52 64 68 104 128 136 169 208 221 272 338 416 442 544 676 832 884 1088 1352 1664 1768 2176 2704 2873 3536 5408 5746 7072 10816 11492 14144 21632 22984 28288 45968 91936 183872 367744 181126567 362253134 724506268 1449012536 2354645371 2898025072 3079151639 4709290742 5796050144 6158303278 9418581484 11592100288 12316606556 18837162968 23184200576 24633213112 30610389823 37674325936 40028971307 49266426224 61220779646 75348651872 80057942614 98532852448 122441559292 150697303744 160115885228 197065704896 244883118584 301394607488 320231770456 394131409792 489766237168 520376626991 640463540912 979532474336 1040753253982 1280927081824 1959064948672 2081506507964 2561854163648 3918129897344 4163013015928 5123708327296 8326026031856 16652052063712 33304104127424 66608208254848