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21648937033 is a prime number
BaseRepresentation
bin10100001010011000…
…001001000001001001
32001212202021221121201
4110022120021001021
5323314111441113
613540111504201
71364323633333
oct241230110111
961782257551
1021648937033
1191aa2958a9
124242228061
1320701b6019
1410952b8453
1586a8d4cdd
hex50a609049

21648937033 has 2 divisors, whose sum is σ = 21648937034. Its totient is φ = 21648937032.

The previous prime is 21648936929. The next prime is 21648937049. The reversal of 21648937033 is 33073984612.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 20564420409 + 1084516624 = 143403^2 + 32932^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21648937033 is a prime.

It is not a weakly prime, because it can be changed into another prime (21648937333) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10824468516 + 10824468517.

It is an arithmetic number, because the mean of its divisors is an integer number (10824468517).

Almost surely, 221648937033 is an apocalyptic number.

It is an amenable number.

21648937033 is a deficient number, since it is larger than the sum of its proper divisors (1).

21648937033 is an equidigital number, since it uses as much as digits as its factorization.

21648937033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 653184, while the sum is 46.

The spelling of 21648937033 in words is "twenty-one billion, six hundred forty-eight million, nine hundred thirty-seven thousand, thirty-three".