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66744404004400 = 2452574329054677
BaseRepresentation
bin11110010110100001001000…
…11111011100111000110000
322202022200222021101121101221
433023100210133130320300
532222020014411120100
6353541542250434424
720026060360201123
oct1713204437347060
9282280867347357
1066744404004400
111a2a3163045951
12759b619a32a14
132b31c7c963325
14126a636c763ba
157ab29605501a
hex3cb4247dce30

66744404004400 has 60 divisors (see below), whose sum is σ = 160381357685152. Its totient is φ = 26693111934720.

The previous prime is 66744404004301. The next prime is 66744404004457. The reversal of 66744404004400 is 440040444766.

66744404004400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 11 ways as a sum of consecutive naturals, for example, 12230139 + ... + 16824538.

Almost surely, 266744404004400 is an apocalyptic number.

It is an amenable number.

66744404004400 is an abundant number, since it is smaller than the sum of its proper divisors (93636953680752).

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

66744404004400 is a wasteful number, since it uses less digits than its factorization.

66744404004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29060438 (or 29060427 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 43.

The spelling of 66744404004400 in words is "sixty-six trillion, seven hundred forty-four billion, four hundred four million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5743 11486 22972 28715 45944 57430 91888 114860 143575 229720 287150 459440 574300 1148600 2297200 29054677 58109354 116218708 145273385 232437416 290546770 464874832 581093540 726366925 1162187080 1452733850 2324374160 2905467700 5810935400 11621870800 166861010011 333722020022 667444040044 834305050055 1334888080088 1668610100110 2669776160176 3337220200220 4171525250275 6674440400440 8343050500550 13348880800880 16686101001100 33372202002200 66744404004400