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66062664 = 23327312569
BaseRepresentation
bin1111110000000…
…0100101001000
311121022022221100
43330000211020
5113403001124
610315541400
71431344343
oct374004510
9147268840
1066062664
1134321948
121a15a860
13108c0645
148ab945a
155bee1c9
hex3f00948

66062664 has 48 divisors (see below), whose sum is σ = 181385100. Its totient is φ = 21717504.

The previous prime is 66062657. The next prime is 66062687. The reversal of 66062664 is 46626066.

It can be written as a sum of positive squares in 2 ways, for example, as 56881764 + 9180900 = 7542^2 + 3030^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 1029 + ... + 11540.

Almost surely, 266062664 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66062664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (90692550).

66062664 is an abundant number, since it is smaller than the sum of its proper divisors (115322436).

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

66062664 is a wasteful number, since it uses less digits than its factorization.

66062664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12654 (or 12647 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 36.

The square root of 66062664 is about 8127.8941922247. The cubic root of 66062664 is about 404.2518607290.

The spelling of 66062664 in words is "sixty-six million, sixty-two thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 73 146 219 292 438 584 657 876 1314 1752 2628 5256 12569 25138 37707 50276 75414 100552 113121 150828 226242 301656 452484 904968 917537 1835074 2752611 3670148 5505222 7340296 8257833 11010444 16515666 22020888 33031332 66062664