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66465441105105 = 3571922960464629
BaseRepresentation
bin11110001110011001100010…
…00000011100010011010001
322201100000220212111000121210
433013030301000130103101
532202432210410330410
6353205445131410333
716666653406524540
oct1707146100342321
9281300825430553
1066465441105105
111a1a5920831799
1275555458b39a9
132b11883339503
14125ad31a64157
157a3dba6c1220
hex3c733101c4d1

66465441105105 has 96 divisors (see below), whose sum is σ = 132693258412800. Its totient is φ = 27792445330944.

The previous prime is 66465441105101. The next prime is 66465441105127. The reversal of 66465441105105 is 50150114456466.

It is not a de Polignac number, because 66465441105105 - 22 = 66465441105101 is a prime.

It is a super-2 number, since 2×664654411051052 (a number of 28 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (66465441105101) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 29133070 + ... + 31331559.

It is an arithmetic number, because the mean of its divisors is an integer number (1382221441800).

Almost surely, 266465441105105 is an apocalyptic number.

It is an amenable number.

66465441105105 is a deficient number, since it is larger than the sum of its proper divisors (66227817307695).

66465441105105 is a wasteful number, since it uses less digits than its factorization.

66465441105105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 60464711 (or 60464692 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 48.

The spelling of 66465441105105 in words is "sixty-six trillion, four hundred sixty-five billion, four hundred forty-one million, one hundred five thousand, one hundred five".

Divisors: 1 3 5 7 15 19 21 29 35 57 87 95 105 133 145 203 285 361 399 435 551 609 665 1015 1083 1653 1805 1995 2527 2755 3045 3857 5415 7581 8265 10469 11571 12635 19285 31407 37905 52345 57855 73283 157035 219849 366415 1099245 60464629 181393887 302323145 423252403 906969435 1148827951 1269757209 1753474241 2116262015 3446483853 5260422723 5744139755 6348786045 8041795657 8767371205 12274319687 17232419265 21827731069 24125386971 26302113615 33316010579 36822959061 40208978285 61371598435 65483193207 99948031737 109138655345 120626934855 152794117483 166580052895 184114795305 233212074053 327415966035 458382352449 499740158685 633004201001 699636222159 763970587415 1166060370265 1899012603003 2291911762245 3165021005005 3498181110795 4431029407007 9495063015015 13293088221021 22155147035035 66465441105105