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66944121296 = 24131718932161
BaseRepresentation
bin111110010110001011…
…100011100111010000
320101210110011201100212
4332112023203213100
52044100143340141
650430444503252
74556636433203
oct762613434720
9211713151325
1066944121296
1126433236188
1210b8354ab28
13640b2c9cc0
143350c2593a
151b1c1d02eb
hexf962e39d0

66944121296 has 40 divisors (see below), whose sum is σ = 147898049544. Its totient is φ = 29079797760.

The previous prime is 66944121239. The next prime is 66944121301. The reversal of 66944121296 is 69212144966.

It can be written as a sum of positive squares in 4 ways, for example, as 2039425600 + 64904695696 = 45160^2 + 254764^2 .

It is a super-3 number, since 3×669441212963 (a number of 33 digits) contains 333 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9462545 + ... + 9469616.

Almost surely, 266944121296 is an apocalyptic number.

It is an amenable number.

66944121296 is an abundant number, since it is smaller than the sum of its proper divisors (80953928248).

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

66944121296 is a wasteful number, since it uses less digits than its factorization.

66944121296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18932199 (or 18932193 counting only the distinct ones).

The product of its digits is 1119744, while the sum is 50.

The spelling of 66944121296 in words is "sixty-six billion, nine hundred forty-four million, one hundred twenty-one thousand, two hundred ninety-six".

Divisors: 1 2 4 8 13 16 17 26 34 52 68 104 136 208 221 272 442 884 1768 3536 18932161 37864322 75728644 151457288 246118093 302914576 321846737 492236186 643693474 984472372 1287386948 1968944744 2574773896 3937889488 4184007581 5149547792 8368015162 16736030324 33472060648 66944121296