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66249634057308 = 2232131492813380999
BaseRepresentation
bin11110001000000111100011…
…11001111000110001011100
322200120101212220110002222200
433010003301321320301130
532140413222304313213
6352522354533411500
716645243456062222
oct1704036171706134
9280511786402880
1066249634057308
111a122348334629
12751b758499b90
132ac7410221520
1412506dc4bab12
1579d48966c273
hex3c40f1e78c5c

66249634057308 has 144 divisors (see below), whose sum is σ = 182202766200000. Its totient is φ = 20175632225280.

The previous prime is 66249634057237. The next prime is 66249634057331. The reversal of 66249634057308 is 80375043694266.

66249634057308 is a `hidden beast` number, since 6 + 6 + 24 + 9 + 6 + 34 + 0 + 573 + 0 + 8 = 666.

66249634057308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 17904193 + ... + 21285191.

It is an arithmetic number, because the mean of its divisors is an integer number (1265296987500).

Almost surely, 266249634057308 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 66249634057308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91101383100000).

66249634057308 is an abundant number, since it is smaller than the sum of its proper divisors (115953132142692).

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

66249634057308 is a wasteful number, since it uses less digits than its factorization.

66249634057308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3381452 (or 3381447 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 63.

The spelling of 66249634057308 in words is "sixty-six trillion, two hundred forty-nine billion, six hundred thirty-four million, fifty-seven thousand, three hundred eight".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 149 156 234 281 298 447 468 562 596 843 894 1124 1341 1686 1788 1937 2529 2682 3372 3653 3874 5058 5364 5811 7306 7748 10116 10959 11622 14612 17433 21918 23244 32877 34866 41869 43836 65754 69732 83738 125607 131508 167476 251214 376821 502428 544297 753642 1088594 1507284 1632891 2177188 3265782 3380999 4898673 6531564 6761998 9797346 10142997 13523996 19594692 20285994 30428991 40571988 43952987 60857982 87905974 121715964 131858961 175811948 263717922 395576883 503768851 527435844 791153766 950060719 1007537702 1511306553 1582307532 1900121438 2015075404 2850182157 3022613106 3800242876 4533919659 5700364314 6045226212 6548995063 8550546471 9067839318 11400728628 12350789347 13097990126 17101092942 18135678636 19646985189 24701578694 26195980252 34202185884 37052368041 39293970378 49403157388 58940955567 74104736082 78587940756 111157104123 117881911134 141559047131 148209472164 222314208246 235763822268 283118094262 424677141393 444628416492 566236188524 849354282786 1274031424179 1698708565572 1840267612703 2548062848358 3680535225406 5096125696716 5520802838109 7361070450812 11041605676218 16562408514327 22083211352436 33124817028654 66249634057308