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768131132251 = 71931186303937
BaseRepresentation
bin10110010110110000010…
…11101110101101011011
32201102200101020112000111
423023120023232231123
5100041113032213001
61344512523545151
7106332001616110
oct13133013565533
92642611215014
10768131132251
11276842aa976a
12104a5168b1b7
1357585661192
142926ba38907
1514eaa5a9851
hexb2d82eeb5b

768131132251 has 16 divisors (see below), whose sum is σ = 953876162560. Its totient is φ = 603624752640.

The previous prime is 768131132239. The next prime is 768131132261. The reversal of 768131132251 is 152231131867.

It is not a de Polignac number, because 768131132251 - 27 = 768131132123 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (768131132261) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 93147846 + ... + 93156091.

It is an arithmetic number, because the mean of its divisors is an integer number (59617260160).

Almost surely, 2768131132251 is an apocalyptic number.

768131132251 is a deficient number, since it is larger than the sum of its proper divisors (185745030309).

768131132251 is a wasteful number, since it uses less digits than its factorization.

768131132251 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 186303994.

The product of its digits is 60480, while the sum is 40.

The spelling of 768131132251 in words is "seven hundred sixty-eight billion, one hundred thirty-one million, one hundred thirty-two thousand, two hundred fifty-one".

Divisors: 1 7 19 31 133 217 589 4123 186303937 1304127559 3539774803 5775422047 24778423621 40427954329 109733018893 768131132251