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66141312 = 273172243
BaseRepresentation
bin1111110001001…
…1110010000000
311121110022211020
43330103302000
5113413010222
610321345440
71432122546
oct374236200
9147408736
1066141312
1134375a46
121a198280
131091a393
148ad9d96
155c1765c
hex3f13c80

66141312 has 32 divisors (see below), whose sum is σ = 175688880. Its totient is φ = 22046976.

The previous prime is 66141287. The next prime is 66141319. The reversal of 66141312 is 21314166.

It is a tau number, because it is divible by the number of its divisors (32).

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is not an unprimeable number, because it can be changed into a prime (66141319) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 85738 + ... + 86505.

Almost surely, 266141312 is an apocalyptic number.

It is an amenable number.

66141312 is an abundant number, since it is smaller than the sum of its proper divisors (109547568).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

66141312 is a wasteful number, since it uses less digits than its factorization.

66141312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 172260 (or 172248 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 66141312 is about 8132.7309066512. The cubic root of 66141312 is about 404.4122185364.

Adding to 66141312 its reverse (21314166), we get a palindrome (87455478).

The spelling of 66141312 in words is "sixty-six million, one hundred forty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 384 172243 344486 516729 688972 1033458 1377944 2066916 2755888 4133832 5511776 8267664 11023552 16535328 22047104 33070656 66141312