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66418444287 = 33131797711393
BaseRepresentation
bin111101110110110110…
…010000011111111111
320100102211000120002000
4331312312100133333
52042011110204122
650302345433343
74540624314156
oct756666203777
9210384016060
1066418444287
1126193531278
1210a5749b853
136356424810
1433010a859d
151adae940ac
hexf76d907ff

66418444287 has 64 divisors (see below), whose sum is σ = 112324786560. Its totient is φ = 38425853952.

The previous prime is 66418444273. The next prime is 66418444357. The reversal of 66418444287 is 78244481466.

66418444287 is a `hidden beast` number, since 6 + 6 + 41 + 84 + 442 + 87 = 666.

It is not a de Polignac number, because 66418444287 - 27 = 66418444159 is a prime.

It is a super-2 number, since 2×664184442872 (a number of 22 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66418444217) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 5824063 + ... + 5835455.

It is an arithmetic number, because the mean of its divisors is an integer number (1755074790).

Almost surely, 266418444287 is an apocalyptic number.

66418444287 is a deficient number, since it is larger than the sum of its proper divisors (45906342273).

66418444287 is a wasteful number, since it uses less digits than its factorization.

66418444287 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12409 (or 12403 counting only the distinct ones).

The product of its digits is 8257536, while the sum is 54.

The spelling of 66418444287 in words is "sixty-six billion, four hundred eighteen million, four hundred forty-four thousand, two hundred eighty-seven".

Divisors: 1 3 9 13 17 27 39 51 117 153 221 351 459 663 977 1989 2931 5967 8793 11393 12701 16609 26379 34179 38103 49827 102537 114309 148109 149481 193681 215917 307611 342927 444327 448443 581043 647751 1332981 1743129 1943253 2517853 3998943 5229387 5829759 7553559 11130961 22660677 33392883 67982031 100178649 144702493 189226337 300535947 434107479 567679011 1302322437 1703037033 2459942381 3906967311 5109111099 7379827143 22139481429 66418444287