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66431541 = 3113127131
BaseRepresentation
bin1111110101101…
…0101000110101
311122000001221110
43331122220311
5114001302131
610331505233
71434441651
oct375325065
9148001843
1066431541
1134554000
121a2b8219
13109bc507
148b73a61
155c73646
hex3f5aa35

66431541 has 32 divisors (see below), whose sum is σ = 98942976. Its totient is φ = 39639600.

The previous prime is 66431531. The next prime is 66431549. The reversal of 66431541 is 14513466.

It is not a de Polignac number, because 66431541 - 213 = 66423349 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 66431499 and 66431508.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66431549) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 507046 + ... + 507176.

It is an arithmetic number, because the mean of its divisors is an integer number (3091968).

Almost surely, 266431541 is an apocalyptic number.

It is an amenable number.

66431541 is a deficient number, since it is larger than the sum of its proper divisors (32511435).

66431541 is a wasteful number, since it uses less digits than its factorization.

66431541 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 294 (or 272 counting only the distinct ones).

The product of its digits is 8640, while the sum is 30.

The square root of 66431541 is about 8150.5546437037. The cubic root of 66431541 is about 405.0028775897.

The spelling of 66431541 in words is "sixty-six million, four hundred thirty-one thousand, five hundred forty-one".

Divisors: 1 3 11 33 121 127 131 363 381 393 1331 1397 1441 3993 4191 4323 15367 15851 16637 46101 47553 49911 169037 174361 183007 507111 523083 549021 2013077 6039231 22143847 66431541