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66405070431 = 337250192797
BaseRepresentation
bin111101110110000011…
…001111011001011111
320100101212212002121000
4331312003033121133
52041444144223211
650301151041343
74540402533300
oct756603173137
9210355762530
1066405070431
1126186a272a7
1210a52b10253
1363537213ab
1432dd3c67a7
151ad9c01656
hexf760cf65f

66405070431 has 24 divisors (see below), whose sum is σ = 114439579440. Its totient is φ = 37945753776.

The previous prime is 66405070399. The next prime is 66405070447. The reversal of 66405070431 is 13407050466.

It is a happy number.

66405070431 is a `hidden beast` number, since 6 + 640 + 5 + 0 + 7 + 0 + 4 + 3 + 1 = 666.

It is not a de Polignac number, because 66405070431 - 25 = 66405070399 is a prime.

It is a super-2 number, since 2×664050704312 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66405071431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 25095076 + ... + 25097721.

It is an arithmetic number, because the mean of its divisors is an integer number (4768315810).

Almost surely, 266405070431 is an apocalyptic number.

66405070431 is a deficient number, since it is larger than the sum of its proper divisors (48034509009).

66405070431 is a wasteful number, since it uses less digits than its factorization.

66405070431 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50192820 (or 50192807 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The spelling of 66405070431 in words is "sixty-six billion, four hundred five million, seventy thousand, four hundred thirty-one".

Divisors: 1 3 7 9 21 27 49 63 147 189 441 1323 50192797 150578391 351349579 451735173 1054048737 1355205519 2459447053 3162146211 7378341159 9486438633 22135023477 66405070431