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66146276 = 22722811201
BaseRepresentation
bin1111110001010…
…0111111100100
311121110120122002
43330110333210
5113413140101
610321424432
71432143200
oct374247744
9147416562
1066146276
1134379749
121a19b118
131091c711
148adbb00
155c18d6b
hex3f14fe4

66146276 has 36 divisors (see below), whose sum is σ = 135246636. Its totient is φ = 28224000.

The previous prime is 66146209. The next prime is 66146287. The reversal of 66146276 is 67264166.

It can be written as a sum of positive squares in 2 ways, for example, as 15366400 + 50779876 = 3920^2 + 7126^2 .

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, 54476 + ... + 55676.

It is an arithmetic number, because the mean of its divisors is an integer number (3756851).

Almost surely, 266146276 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 66146276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (67623318).

66146276 is an abundant number, since it is smaller than the sum of its proper divisors (69100360).

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

66146276 is a wasteful number, since it uses less digits than its factorization.

66146276 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1500 (or 1491 counting only the distinct ones).

The product of its digits is 72576, while the sum is 38.

The square root of 66146276 is about 8133.0360874645. The cubic root of 66146276 is about 404.4223355217.

The spelling of 66146276 in words is "sixty-six million, one hundred forty-six thousand, two hundred seventy-six".

Divisors: 1 2 4 7 14 28 49 98 196 281 562 1124 1201 1967 2402 3934 4804 7868 8407 13769 16814 27538 33628 55076 58849 117698 235396 337481 674962 1349924 2362367 4724734 9449468 16536569 33073138 66146276