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803693102934817 is a prime number
BaseRepresentation
bin1011011010111101000110000…
…1111010001010101100100001
310220101122022101012020200201001
42312233101201322022230201
51320320201433322403232
611525151303042512001
7331166624211563614
oct26657214172125441
93811568335220631
10803693102934817
11213099370409497
1276181136065601
132865ac1bb8cc74
1410266d4d08a17b
1562dad7e2c36e7
hex2daf461e8ab21

803693102934817 has 2 divisors, whose sum is σ = 803693102934818. Its totient is φ = 803693102934816.

The previous prime is 803693102934797. The next prime is 803693102934919. The reversal of 803693102934817 is 718439201396308.

803693102934817 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 798873141750336 + 4819961184481 = 28264344^2 + 2195441^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-803693102934817 is a prime.

It is not a weakly prime, because it can be changed into another prime (803693102904817) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 401846551467408 + 401846551467409.

It is an arithmetic number, because the mean of its divisors is an integer number (401846551467409).

Almost surely, 2803693102934817 is an apocalyptic number.

It is an amenable number.

803693102934817 is a deficient number, since it is larger than the sum of its proper divisors (1).

803693102934817 is an equidigital number, since it uses as much as digits as its factorization.

803693102934817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 47029248, while the sum is 64.

The spelling of 803693102934817 in words is "eight hundred three trillion, six hundred ninety-three billion, one hundred two million, nine hundred thirty-four thousand, eight hundred seventeen".