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66161956 = 2274832
BaseRepresentation
bin1111110001100…
…0110100100100
311121111101010211
43330120310210
5113414140311
610322025204
71432240000
oct374306444
9147441124
1066161956
113438a503
121a1a8204
13109268b3
148b03700
155c1d821
hex3f18d24

66161956 has 45 divisors (see below), whose sum is σ = 136719611. Its totient is φ = 28013496.

The previous prime is 66161941. The next prime is 66161983. The reversal of 66161956 is 65916166.

The square root of 66161956 is 8134.

It is a perfect power (a square), and thus also a powerful number.

66161956 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 797091 + ... + 797173.

Almost surely, 266161956 is an apocalyptic number.

66161956 is the 8134-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 66161956

66161956 is an abundant number, since it is smaller than the sum of its proper divisors (70557655).

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

66161956 is an frugal number, since it uses more digits than its factorization.

66161956 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 92 counting only the distinct ones).

The product of its digits is 58320, while the sum is 40.

The cubic root of 66161956 is about 404.4542891533.

The spelling of 66161956 in words is "sixty-six million, one hundred sixty-one thousand, nine hundred fifty-six".

Divisors: 1 2 4 7 14 28 49 83 98 166 196 332 343 581 686 1162 1372 2324 2401 4067 4802 6889 8134 9604 13778 16268 27556 28469 48223 56938 96446 113876 192892 199283 337561 398566 675122 797132 1350244 2362927 4725854 9451708 16540489 33080978 66161956