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762940872961 is a prime number
BaseRepresentation
bin10110001101000101101…
…00011101100100000001
32200221021122212000202221
423012202310131210001
5100000000330413321
61342253514411041
7106056246263611
oct13064264354401
92627248760687
10762940872961
1127461a262083
12103a43430a81
1356c39278b37
1428cd85aca41
1514ca4abee41
hexb1a2d1d901

762940872961 has 2 divisors, whose sum is σ = 762940872962. Its totient is φ = 762940872960.

The previous prime is 762940872959. The next prime is 762940872997. The reversal of 762940872961 is 169278049267.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 693122851600 + 69818021361 = 832540^2 + 264231^2 .

It is a cyclic number.

It is not a de Polignac number, because 762940872961 - 21 = 762940872959 is a prime.

Together with 762940872959, it forms a pair of twin primes.

It is a self number, because there is not a number n which added to its sum of digits gives 762940872961.

It is not a weakly prime, because it can be changed into another prime (762940872901) by changing a digit.

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 as a sum of consecutive naturals, namely, 381470436480 + 381470436481.

It is an arithmetic number, because the mean of its divisors is an integer number (381470436481).

Almost surely, 2762940872961 is an apocalyptic number.

It is an amenable number.

762940872961 is a deficient number, since it is larger than the sum of its proper divisors (1).

762940872961 is an equidigital number, since it uses as much as digits as its factorization.

762940872961 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 18289152, while the sum is 61.

The spelling of 762940872961 in words is "seven hundred sixty-two billion, nine hundred forty million, eight hundred seventy-two thousand, nine hundred sixty-one".