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9966706432263 = 34722986590963
BaseRepresentation
bin1001000100001000110111…
…1111110001100100000111
31022021210210220111202220000
42101002031333301210013
52301243303321313023
633110350340212343
72046033163603200
oct221021577614407
938253726452800
109966706432263
1131a2946a49889
12114b74599a0b3
13573b19623a99
142665695005a7
151243cc0d7243
hex9108dff1907

9966706432263 has 60 divisors (see below), whose sum is σ = 17916536361240. Its totient is φ = 5498872450848.

The previous prime is 9966706432139. The next prime is 9966706432283. The reversal of 9966706432263 is 3622346076699.

It is a happy number.

It is not a de Polignac number, because 9966706432263 - 214 = 9966706415879 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 9966706432263.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9966706432283) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 43180381 + ... + 43410582.

It is an arithmetic number, because the mean of its divisors is an integer number (298608939354).

Almost surely, 29966706432263 is an apocalyptic number.

9966706432263 is a deficient number, since it is larger than the sum of its proper divisors (7949829928977).

9966706432263 is a wasteful number, since it uses less digits than its factorization.

9966706432263 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 86591018 (or 86591002 counting only the distinct ones).

The product of its (nonzero) digits is 105815808, while the sum is 63.

The spelling of 9966706432263 in words is "nine trillion, nine hundred sixty-six billion, seven hundred six million, four hundred thirty-two thousand, two hundred sixty-three".

Divisors: 1 3 7 9 21 27 29 49 63 81 87 147 189 203 261 441 567 609 783 1323 1421 1827 2349 3969 4263 5481 12789 16443 38367 115101 86590963 259772889 606136741 779318667 1818410223 2337956001 2511137927 4242957187 5455230669 7013868003 7533413781 12728871561 16365692007 17577965489 22600241343 38186614683 49097076021 52733896467 67800724029 114559844049 123045758423 158201689401 203402172087 343679532147 369137275269 474605068203 1107411825807 1423815204609 3322235477421 9966706432263