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66886777667052 = 223271730615100673
BaseRepresentation
bin11110011010101010010101…
…00111110111110111101100
322202211022110112120001011200
433031111022213313313230
532231333110040321202
6354131210024245500
720042260463311530
oct1715251247676754
9282738415501150
1066886777667052
111a348583292962
127603132610890
132b4251c21c125
1412734a1829bc0
157aed2a348e1c
hex3cd54a9f7dec

66886777667052 has 144 divisors (see below), whose sum is σ = 204661728677952. Its totient is φ = 17980480880640.

The previous prime is 66886777667041. The next prime is 66886777667131. The reversal of 66886777667052 is 25076677768866.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 10562988 + ... + 15663660.

It is an arithmetic number, because the mean of its divisors is an integer number (1421262004708).

Almost surely, 266886777667052 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66886777667052, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (102330864338976).

66886777667052 is an abundant number, since it is smaller than the sum of its proper divisors (137774951010900).

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

66886777667052 is a wasteful number, since it uses less digits than its factorization.

66886777667052 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5103768 (or 5103763 counting only the distinct ones).

The product of its (nonzero) digits is 11948912640, while the sum is 81.

The spelling of 66886777667052 in words is "sixty-six trillion, eight hundred eighty-six billion, seven hundred seventy-seven million, six hundred sixty-seven thousand, fifty-two".

Divisors: 1 2 3 4 6 7 9 12 14 17 18 21 28 34 36 42 51 63 68 84 102 119 126 153 204 238 252 306 357 476 612 714 1071 1428 2142 3061 4284 6122 9183 12244 18366 21427 27549 36732 42854 52037 55098 64281 85708 104074 110196 128562 156111 192843 208148 257124 312222 364259 385686 468333 624444 728518 771372 936666 1092777 1457036 1873332 2185554 3278331 4371108 5100673 6556662 10201346 13113324 15302019 20402692 30604038 35704711 45906057 61208076 71409422 86711441 91812114 107114133 142818844 173422882 183624228 214228266 260134323 321342399 346845764 428456532 520268646 606980087 642684798 780402969 1040537292 1213960174 1285369596 1560805938 1820940261 2427920348 3121611876 3641880522 5462820783 7283761044 10925641566 15613160053 21851283132 31226320106 46839480159 62452640212 93678960318 109292120371 140518440477 187357920636 218584240742 265423720901 281036880954 327876361113 437168481484 530847441802 562073761908 655752722226 796271162703 983629083339 1061694883604 1311505444452 1592542325406 1857966046307 1967258166678 2388813488109 3185084650812 3715932092614 3934516333356 4777626976218 5573898138921 7431864185228 9555253952436 11147796277842 16721694416763 22295592555684 33443388833526 66886777667052