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66377961 = 34133373
BaseRepresentation
bin1111110100110…
…1100011101001
311121220100110000
43331031203221
5113443043321
610330413213
71434126516
oct375154351
9147810400
1066377961
1134517821
121a291209
13109a1000
148b5c30d
155c62826
hex3f4d8e9

66377961 has 40 divisors (see below), whose sum is σ = 107704520. Its totient is φ = 40738464.

The previous prime is 66377923. The next prime is 66377981. The reversal of 66377961 is 16977366.

66377961 is a `hidden beast` number, since 6 + 637 + 7 + 9 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 18974736 + 47403225 = 4356^2 + 6885^2 .

It is not a de Polignac number, because 66377961 - 29 = 66377449 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (66377981) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 177771 + ... + 178143.

It is an arithmetic number, because the mean of its divisors is an integer number (2692613).

Almost surely, 266377961 is an apocalyptic number.

It is an amenable number.

66377961 is a deficient number, since it is larger than the sum of its proper divisors (41326559).

66377961 is an equidigital number, since it uses as much as digits as its factorization.

66377961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 424 (or 389 counting only the distinct ones).

The product of its digits is 285768, while the sum is 45.

The square root of 66377961 is about 8147.2670878031. The cubic root of 66377961 is about 404.8939640099.

The spelling of 66377961 in words is "sixty-six million, three hundred seventy-seven thousand, nine hundred sixty-one".

Divisors: 1 3 9 13 27 39 81 117 169 351 373 507 1053 1119 1521 2197 3357 4563 4849 6591 10071 13689 14547 19773 30213 43641 59319 63037 130923 177957 189111 392769 567333 819481 1701999 2458443 5105997 7375329 22125987 66377961