Search a number
-
+
66466414610432 = 211173187597133
BaseRepresentation
bin11110001110011011010110…
…00010000100100000000000
322201100010102201022012212122
433013031223002010200000
532202441204120013212
6353210125505143412
720000016500266514
oct1707155302044000
9281303381265778
1066466414610432
111a1a62802a9751
12755577792ab68
132b119a9c2b075
14125adc5076144
157a3e25dbc272
hex3c736b084800

66466414610432 has 48 divisors (see below), whose sum is σ = 133668585889020. Its totient is φ = 33041107664896.

The previous prime is 66466414610389. The next prime is 66466414610441. The reversal of 66466414610432 is 23401641466466.

It can be written as a sum of positive squares in 2 ways, for example, as 61795698328576 + 4670716281856 = 7861024^2 + 2161184^2 .

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 3 ways as a sum of consecutive naturals, for example, 93444263 + ... + 94152870.

Almost surely, 266466414610432 is an apocalyptic number.

It is an amenable number.

66466414610432 is an abundant number, since it is smaller than the sum of its proper divisors (67202171278588).

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

66466414610432 is a wasteful number, since it uses less digits than its factorization.

66466414610432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 187597328 (or 187597308 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 53.

The spelling of 66466414610432 in words is "sixty-six trillion, four hundred sixty-six billion, four hundred fourteen million, six hundred ten thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 64 128 173 256 346 512 692 1024 1384 2048 2768 5536 11072 22144 44288 88576 177152 354304 187597133 375194266 750388532 1500777064 3001554128 6003108256 12006216512 24012433024 32454304009 48024866048 64908608018 96049732096 129817216036 192099464192 259634432072 384198928384 519268864144 1038537728288 2077075456576 4154150913152 8308301826304 16616603652608 33233207305216 66466414610432