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3966565968 = 243227545597
BaseRepresentation
bin1110110001101100…
…1111111001010000
3101020102210102120200
43230123033321100
531110420102333
61453333135200
7200203153161
oct35433177120
911212712520
103966565968
1117560287a2
1292848a500
134b2a16671
14298b2d768
1518336dc13
hexec6cfe50

3966565968 has 30 divisors (see below), whose sum is σ = 11100875994. Its totient is φ = 1322188608.

The previous prime is 3966565961. The next prime is 3966566011. The reversal of 3966565968 is 8695656693.

3966565968 is a `hidden beast` number, since 3 + 9 + 6 + 6 + 565 + 9 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 2427729984 + 1538835984 = 49272^2 + 39228^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3966565961) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 13772655 + ... + 13772942.

Almost surely, 23966565968 is an apocalyptic number.

It is an amenable number.

3966565968 is an abundant number, since it is smaller than the sum of its proper divisors (7134310026).

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

3966565968 is a wasteful number, since it uses less digits than its factorization.

3966565968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27545611 (or 27545602 counting only the distinct ones).

The product of its digits is 62985600, while the sum is 63.

The square root of 3966565968 is about 62980.6793231067. The cubic root of 3966565968 is about 1582.9659037144.

The spelling of 3966565968 in words is "three billion, nine hundred sixty-six million, five hundred sixty-five thousand, nine hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 27545597 55091194 82636791 110182388 165273582 220364776 247910373 330547164 440729552 495820746 661094328 991641492 1322188656 1983282984 3966565968