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66738037 = 41972173
BaseRepresentation
bin1111111010010…
…1011101110101
311122120122101011
43332211131311
5114041104122
610342232221
71440156352
oct376453565
9148518334
1066738037
1134743303
121a425671
1310a98b82
148c13629
155cd4377
hex3fa5775

66738037 has 12 divisors (see below), whose sum is σ = 69477156. Its totient is φ = 64066560.

The previous prime is 66738011. The next prime is 66738041. The reversal of 66738037 is 73083766.

It can be written as a sum of positive squares in 6 ways, for example, as 576081 + 66161956 = 759^2 + 8134^2 .

It is a de Polignac number, because none of the positive numbers 2k-66738037 is a prime.

It is a super-2 number, since 2×667380372 = 8907931165226738, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66738137) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 385683 + ... + 385855.

It is an arithmetic number, because the mean of its divisors is an integer number (5789763).

Almost surely, 266738037 is an apocalyptic number.

It is an amenable number.

66738037 is a deficient number, since it is larger than the sum of its proper divisors (2739119).

66738037 is an equidigital number, since it uses as much as digits as its factorization.

66738037 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 311 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 40.

The square root of 66738037 is about 8169.3351626678. The cubic root of 66738037 is about 405.6247776951.

The spelling of 66738037 in words is "sixty-six million, seven hundred thirty-eight thousand, thirty-seven".

Divisors: 1 41 97 173 3977 7093 9409 16781 385769 688021 1627757 66738037