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66400753 is a prime number
BaseRepresentation
bin1111110101001…
…1000111110001
311121221111201011
43331103013301
5113444311003
610331110521
71434253126
oct375230761
9147844634
1066400753
1134532961
121a2a2441
13109ab4b3
148b6674d
155c6946d
hex3f531f1

66400753 has 2 divisors, whose sum is σ = 66400754. Its totient is φ = 66400752.

The previous prime is 66400751. The next prime is 66400769. The reversal of 66400753 is 35700466.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 54066609 + 12334144 = 7353^2 + 3512^2 .

It is a cyclic number.

It is not a de Polignac number, because 66400753 - 21 = 66400751 is a prime.

It is a super-3 number, since 3×664007533 (a number of 24 digits) contains 333 as substring.

Together with 66400751, it forms a pair of twin primes.

It is not a weakly prime, because it can be changed into another prime (66400751) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 33200376 + 33200377.

It is an arithmetic number, because the mean of its divisors is an integer number (33200377).

Almost surely, 266400753 is an apocalyptic number.

It is an amenable number.

66400753 is a deficient number, since it is larger than the sum of its proper divisors (1).

66400753 is an equidigital number, since it uses as much as digits as its factorization.

66400753 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 15120, while the sum is 31.

The square root of 66400753 is about 8148.6657189996. The cubic root of 66400753 is about 404.9403011126.

The spelling of 66400753 in words is "sixty-six million, four hundred thousand, seven hundred fifty-three".