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21974567413 is a prime number
BaseRepresentation
bin10100011101110010…
…010100100111110101
32002201110000200112011
4110131302110213311
5330000442124123
614032303124221
71405356512131
oct243562244765
962643020464
1021974567413
119357085817
1243132a3671
1320c27b8c16
1410c66403c1
158892a7e0d
hex51dc949f5

21974567413 has 2 divisors, whose sum is σ = 21974567414. Its totient is φ = 21974567412.

The previous prime is 21974567371. The next prime is 21974567429. The reversal of 21974567413 is 31476547912.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 21206058129 + 768509284 = 145623^2 + 27722^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-21974567413 is a prime.

It is a super-3 number, since 3×219745674133 (a number of 32 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (21974562413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10987283706 + 10987283707.

It is an arithmetic number, because the mean of its divisors is an integer number (10987283707).

Almost surely, 221974567413 is an apocalyptic number.

It is an amenable number.

21974567413 is a deficient number, since it is larger than the sum of its proper divisors (1).

21974567413 is an equidigital number, since it uses as much as digits as its factorization.

21974567413 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 1270080, while the sum is 49.

The spelling of 21974567413 in words is "twenty-one billion, nine hundred seventy-four million, five hundred sixty-seven thousand, four hundred thirteen".