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66985023 = 3718117623
BaseRepresentation
bin1111111110000…
…1110000111111
311200001012011210
43333201300333
5114122010043
610351415503
71442235420
oct377416077
9150035153
1066985023
11348a1926
121a524593
1310b54411
148c79647
155d32633
hex3fe1c3f

66985023 has 16 divisors (see below), whose sum is σ = 102642176. Its totient is φ = 38063520.

The previous prime is 66985003. The next prime is 66985031. The reversal of 66985023 is 32058966.

It is not a de Polignac number, because 66985023 - 210 = 66983999 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a zygodrome in base 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66985003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 5011 + ... + 12612.

It is an arithmetic number, because the mean of its divisors is an integer number (6415136).

Almost surely, 266985023 is an apocalyptic number.

66985023 is a deficient number, since it is larger than the sum of its proper divisors (35657153).

66985023 is a wasteful number, since it uses less digits than its factorization.

66985023 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17814.

The product of its (nonzero) digits is 77760, while the sum is 39.

The square root of 66985023 is about 8184.4378548560. The cubic root of 66985023 is about 406.1245442042.

The spelling of 66985023 in words is "sixty-six million, nine hundred eighty-five thousand, twenty-three".

Divisors: 1 3 7 21 181 543 1267 3801 17623 52869 123361 370083 3189763 9569289 22328341 66985023