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766742220801 = 32431197664919
BaseRepresentation
bin10110010100001010110…
…01011101000000000001
32201022002120202111200200
423022011121131000001
5100030242002031201
61344123030435413
7106252405225434
oct13120531350001
92638076674620
10766742220801
1127619aaa3a67
12104724502b69
13573c399589b
14291793b181b
1514e286a5386
hexb28565d001

766742220801 has 12 divisors (see below), whose sum is σ = 1110086190720. Its totient is φ = 509975488440.

The previous prime is 766742220763. The next prime is 766742220817. The reversal of 766742220801 is 108022247667.

It is a happy number.

766742220801 is a `hidden beast` number, since 76 + 67 + 422 + 20 + 80 + 1 = 666.

It is not a de Polignac number, because 766742220801 - 225 = 766708666369 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (766740220801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 98828581 + ... + 98836338.

It is an arithmetic number, because the mean of its divisors is an integer number (92507182560).

Almost surely, 2766742220801 is an apocalyptic number.

It is an amenable number.

766742220801 is a deficient number, since it is larger than the sum of its proper divisors (343343969919).

766742220801 is a wasteful number, since it uses less digits than its factorization.

766742220801 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 197665356 (or 197665353 counting only the distinct ones).

The product of its (nonzero) digits is 451584, while the sum is 45.

The spelling of 766742220801 in words is "seven hundred sixty-six billion, seven hundred forty-two million, two hundred twenty thousand, eight hundred one".

Divisors: 1 3 9 431 1293 3879 197664919 592994757 1778984271 85193580089 255580740267 766742220801