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66985416 = 23327571229
BaseRepresentation
bin1111111110000…
…1110111001000
311200001012201100
43333201313020
5114122013131
610351421400
71442236521
oct377416710
9150035640
1066985416
11348a2153
121a524860
1310b54654
148c79848
155d327e6
hex3fe1dc8

66985416 has 48 divisors (see below), whose sum is σ = 181806300. Its totient is φ = 22280832.

The previous prime is 66985397. The next prime is 66985421. The reversal of 66985416 is 61458966.

It can be written as a sum of positive squares in 2 ways, for example, as 57062916 + 9922500 = 7554^2 + 3150^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 53890 + ... + 55118.

Almost surely, 266985416 is an apocalyptic number.

It is an amenable number.

66985416 is an abundant number, since it is smaller than the sum of its proper divisors (114820884).

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

66985416 is a wasteful number, since it uses less digits than its factorization.

66985416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1991 counting only the distinct ones).

The product of its digits is 311040, while the sum is 45.

The square root of 66985416 is about 8184.4618638002. The cubic root of 66985416 is about 406.1253384446.

The spelling of 66985416 in words is "sixty-six million, nine hundred eighty-five thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 757 1229 1514 2271 2458 3028 3687 4542 4916 6056 6813 7374 9084 9832 11061 13626 14748 18168 22122 27252 29496 44244 54504 88488 930353 1860706 2791059 3721412 5582118 7442824 8373177 11164236 16746354 22328472 33492708 66985416