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66285879426 = 2321317149111833
BaseRepresentation
bin111101101110111100…
…100100000010000010
320100002120120120021100
4331232330210002002
52041223141120201
650241252235230
74534424451534
oct755674440202
9210076516240
1066285879426
1126125718338
1210a1b00bb16
136334b1b780
1432cb63b854
151ace50a886
hexf6ef24082

66285879426 has 96 divisors (see below), whose sum is σ = 164865682800. Its totient is φ = 19066908672.

The previous prime is 66285879371. The next prime is 66285879437. The reversal of 66285879426 is 62497858266.

66285879426 is a `hidden beast` number, since 6 + 6 + 2 + 8 + 587 + 9 + 42 + 6 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 10212113025 + 56073766401 = 101055^2 + 236799^2 .

It is a super-2 number, since 2×662858794262 (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 536806 + ... + 648638.

Almost surely, 266285879426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66285879426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82432841400).

66285879426 is an abundant number, since it is smaller than the sum of its proper divisors (98579803374).

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

66285879426 is a wasteful number, since it uses less digits than its factorization.

66285879426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112020 (or 112017 counting only the distinct ones).

The product of its digits is 69672960, while the sum is 63.

The spelling of 66285879426 in words is "sixty-six billion, two hundred eighty-five million, eight hundred seventy-nine thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 17 18 26 34 39 51 78 102 117 149 153 221 234 298 306 442 447 663 894 1326 1341 1937 1989 2533 2682 3874 3978 5066 5811 7599 11622 15198 17433 22797 32929 34866 45594 65858 98787 111833 197574 223666 296361 335499 592722 670998 1006497 1453829 1901161 2012994 2907658 3802322 4361487 5703483 8722974 11406966 13084461 16663117 17110449 24715093 26168922 33326234 34220898 49430186 49989351 74145279 99978702 148290558 149968053 216620521 222435837 283272989 299936106 433241042 444871674 566545978 649861563 849818967 1299723126 1699637934 1949584689 2549456901 3682548857 3899169378 5098913802 7365097714 11047646571 22095293142 33142939713 66285879426