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76681011664 = 2429165260801
BaseRepresentation
bin100011101101010001…
…0110110000111010000
321022221000211222221001
41013122202312013100
52224020314333124
655120552111344
75353140562525
oct1073242660720
9238830758831
1076681011664
112a57a483014
1212a40395554
1373006349aa
1439d605914c
151edbe19b44
hex11da8b61d0

76681011664 has 20 divisors (see below), whose sum is σ = 153692545860. Its totient is φ = 37018419200.

The previous prime is 76681011653. The next prime is 76681011703. The reversal of 76681011664 is 46611018667.

It can be written as a sum of positive squares in 2 ways, for example, as 22652658064 + 54028353600 = 150508^2 + 232440^2 .

It is a congruent number.

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, 82629937 + ... + 82630864.

It is an arithmetic number, because the mean of its divisors is an integer number (7684627293).

Almost surely, 276681011664 is an apocalyptic number.

It is an amenable number.

76681011664 is an abundant number, since it is smaller than the sum of its proper divisors (77011534196).

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

76681011664 is a wasteful number, since it uses less digits than its factorization.

76681011664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 165260838 (or 165260832 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 46.

The spelling of 76681011664 in words is "seventy-six billion, six hundred eighty-one million, eleven thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 29 58 116 232 464 165260801 330521602 661043204 1322086408 2644172816 4792563229 9585126458 19170252916 38340505832 76681011664