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66311811742 = 21122941317727
BaseRepresentation
bin111101110000011111…
…011111001010011110
320100011101101001201111
4331300133133022132
52041301310433432
650244020132234
74535161046131
oct756037371236
9210141331644
1066311811742
112613931a700
1210a2783707a
13633a2cb137
1432d0c6c218
151ad192e347
hexf707df29e

66311811742 has 96 divisors (see below), whose sum is σ = 116386320960. Its totient is φ = 28264051200.

The previous prime is 66311811703. The next prime is 66311811743. The reversal of 66311811742 is 24711811366.

It is a junction number, because it is equal to n+sod(n) for n = 66311811695 and 66311811704.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (66311811743) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 91212583 + ... + 91213309.

It is an arithmetic number, because the mean of its divisors is an integer number (1212357510).

Almost surely, 266311811742 is an apocalyptic number.

66311811742 is a deficient number, since it is larger than the sum of its proper divisors (50074509218).

66311811742 is a wasteful number, since it uses less digits than its factorization.

66311811742 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1138 (or 1127 counting only the distinct ones).

The product of its digits is 48384, while the sum is 40.

The spelling of 66311811742 in words is "sixty-six billion, three hundred eleven million, eight hundred eleven thousand, seven hundred forty-two".

Divisors: 1 2 11 22 29 41 58 82 121 242 317 319 451 634 638 727 902 1189 1454 2378 3487 3509 4961 6974 7018 7997 9193 9922 12997 13079 15994 18386 21083 25994 26158 29807 38357 42166 59614 76714 87967 101123 142967 143869 175934 202246 230459 231913 285934 287738 327877 376913 460918 463826 655754 753826 864403 1112353 1572637 1728806 2224706 2535049 2551043 3145274 3606647 4146043 5070098 5102086 6683311 7213294 8292086 9448819 9508433 13366622 18897638 19016866 27885539 45606473 55771078 73516421 91212946 103937009 104592763 147032842 207874018 209185526 274015751 548031502 808680631 1143307099 1617361262 2286614198 3014173261 6028346522 33155905871 66311811742