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973957974497 is a prime number
BaseRepresentation
bin11100010110001000110…
…10110100100111100001
310110002221210202110101222
432023010122310213201
5111424131220140442
62023232523304425
7130236405121304
oct16130432644741
93402853673358
10973957974497
11346064981772
1213891467b115
1370ac7bcc6b1
14351d5932b3b
151a5053608d2
hexe2c46b49e1

973957974497 has 2 divisors, whose sum is σ = 973957974498. Its totient is φ = 973957974496.

The previous prime is 973957974491. The next prime is 973957974541. The reversal of 973957974497 is 794479759379.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 781130721856 + 192827252641 = 883816^2 + 439121^2 .

It is a cyclic number.

It is not a de Polignac number, because 973957974497 - 26 = 973957974433 is a prime.

It is a super-3 number, since 3×9739579744973 (a number of 37 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (973957974491) 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, 486978987248 + 486978987249.

It is an arithmetic number, because the mean of its divisors is an integer number (486978987249).

Almost surely, 2973957974497 is an apocalyptic number.

It is an amenable number.

973957974497 is a deficient number, since it is larger than the sum of its proper divisors (1).

973957974497 is an equidigital number, since it uses as much as digits as its factorization.

973957974497 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780710640, while the sum is 80.

The spelling of 973957974497 in words is "nine hundred seventy-three billion, nine hundred fifty-seven million, nine hundred seventy-four thousand, four hundred ninety-seven".