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66066066000040 = 2351651651650001
BaseRepresentation
bin11110000010110001101000…
…11001010100100010101000
322122220212001201202121022211
433001120310121110202220
532124411300344000130
6352302155353054504
716626054463246621
oct1701306431244250
9278825051677284
1066066066000040
111a061508a11197
1274b00679b7434
132ab30073021b2
141245886888a48
157987e3ab1a2a
hex3c16346548a8

66066066000040 has 16 divisors (see below), whose sum is σ = 148648648500180. Its totient is φ = 26426426400000.

The previous prime is 66066066000019. The next prime is 66066066000059. The reversal of 66066066000040 is 4000066066066.

It can be written as a sum of positive squares in 2 ways, for example, as 63828307304644 + 2237758695396 = 7989262^2 + 1495914^2 .

It is a Harshad number since it is a multiple of its sum of digits (40), and also a Moran number because the ratio is a prime number: 1651651650001 = 66066066000040 / (6 + 6 + 0 + 6 + 6 + 0 + 6 + 6 + 0 + 0 + 0 + 0 + 4 + 0).

It is a junction number, because it is equal to n+sod(n) for n = 66066065999957 and 66066066000002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 825825824961 + ... + 825825825040.

Almost surely, 266066066000040 is an apocalyptic number.

It is an amenable number.

66066066000040 is an abundant number, since it is smaller than the sum of its proper divisors (82582582500140).

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

66066066000040 is a wasteful number, since it uses less digits than its factorization.

66066066000040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1651651650012 (or 1651651650008 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 40.

The spelling of 66066066000040 in words is "sixty-six trillion, sixty-six billion, sixty-six million, forty", and thus it is an aban number, an eban number, and an uban number.

Divisors: 1 2 4 5 8 10 20 40 1651651650001 3303303300002 6606606600004 8258258250005 13213213200008 16516516500010 33033033000020 66066066000040