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66200406642 = 2325097225541
BaseRepresentation
bin111101101001110110…
…100000101001110010
320022212121202002122200
4331221312200221302
52041034301003032
650225000244030
74532336112666
oct755166405162
9208777662580
1066200406642
1126091449377
12109b6470616
1363201c3366
1432c014c8a6
151ac6c7547c
hexf69da0a72

66200406642 has 24 divisors (see below), whose sum is σ = 143716030380. Its totient is φ = 22023445920.

The previous prime is 66200406631. The next prime is 66200406683. The reversal of 66200406642 is 24660400266.

66200406642 is a `hidden beast` number, since 6 + 6 + 2 + 0 + 0 + 4 + 0 + 6 + 642 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 63378566001 + 2821840641 = 251751^2 + 53121^2 .

It is a junction number, because it is equal to n+sod(n) for n = 66200406597 and 66200406606.

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 11 ways as a sum of consecutive naturals, for example, 3603609 + ... + 3621932.

Almost surely, 266200406642 is an apocalyptic number.

66200406642 is an abundant number, since it is smaller than the sum of its proper divisors (77515623738).

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

66200406642 is a wasteful number, since it uses less digits than its factorization.

66200406642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7226058 (or 7226055 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 36.

The spelling of 66200406642 in words is "sixty-six billion, two hundred million, four hundred six thousand, six hundred forty-two".

Divisors: 1 2 3 6 9 18 509 1018 1527 3054 4581 9162 7225541 14451082 21676623 43353246 65029869 130059738 3677800369 7355600738 11033401107 22066802214 33100203321 66200406642