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21265066217772 = 223213217419200657
BaseRepresentation
bin1001101010111001010001…
…01101111101000100101100
32210021220212000201221122200
410311130220231331010230
510241401323422432042
6113121011521341500
74323231110321556
oct465345055750454
983256760657580
1021265066217772
116859511556623
12247538b797890
13bb3396b00600
145373400164d6
1526d246e5ac4c
hex135728b7d12c

21265066217772 has 108 divisors (see below), whose sum is σ = 58209934681080. Its totient is φ = 6542689061376.

The previous prime is 21265066217749. The next prime is 21265066217803. The reversal of 21265066217772 is 27771266056212.

21265066217772 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 5 + 0 + 6 + 621 + 7 + 7 + 7 + 2 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 105876868 + ... + 106077524.

Almost surely, 221265066217772 is an apocalyptic number.

It is an amenable number.

21265066217772 is an abundant number, since it is smaller than the sum of its proper divisors (36944868463308).

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

21265066217772 is a wasteful number, since it uses less digits than its factorization.

21265066217772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 218112 (or 218094 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 21265066217772 in words is "twenty-one trillion, two hundred sixty-five billion, sixty-six million, two hundred seventeen thousand, seven hundred seventy-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 36 39 52 78 117 156 169 234 338 468 507 676 1014 1521 2028 3042 6084 17419 34838 52257 69676 104514 156771 200657 209028 226447 313542 401314 452894 601971 627084 679341 802628 905788 1203942 1358682 1805913 2038023 2407884 2608541 2717364 2943811 3611826 4076046 5217082 5887622 7223652 7825623 8152092 8831433 10434164 11775244 15651246 17662866 23476869 26494299 31302492 33911033 35325732 46953738 52988598 67822066 93907476 101733099 105977196 135644132 203466198 305199297 406932396 610398594 1220797188 3495244283 6990488566 10485732849 13980977132 20971465698 31457198547 41942931396 45438175679 62914397094 90876351358 125828794188 136314527037 181752702716 272629054074 408943581111 545258108148 590696283827 817887162222 1181392567654 1635774324444 1772088851481 2362785135308 3544177702962 5316266554443 7088355405924 10632533108886 21265066217772