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66763305 = 3357314353
BaseRepresentation
bin1111111010101…
…1101000101001
311122121221001000
43332223220221
5114042411210
610342545213
71440323130
oct376535051
9148557030
1066763305
1134760294
121a438209
1310aa751b
148c1c917
155cdbac0
hex3faba29

66763305 has 128 divisors (see below), whose sum is σ = 145981440. Its totient is φ = 28304640.

The previous prime is 66763297. The next prime is 66763309. The reversal of 66763305 is 50336766.

It is not a de Polignac number, because 66763305 - 23 = 66763297 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 66763305.

It is not an unprimeable number, because it can be changed into a prime (66763309) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1259659 + ... + 1259711.

It is an arithmetic number, because the mean of its divisors is an integer number (1140480).

Almost surely, 266763305 is an apocalyptic number.

It is an amenable number.

66763305 is an abundant number, since it is smaller than the sum of its proper divisors (79218135).

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

66763305 is a wasteful number, since it uses less digits than its factorization.

66763305 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 142 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 36.

The square root of 66763305 is about 8170.8815313894. The cubic root of 66763305 is about 405.6759630665.

The spelling of 66763305 in words is "sixty-six million, seven hundred sixty-three thousand, three hundred five".

Divisors: 1 3 5 7 9 15 21 27 31 35 43 45 53 63 93 105 129 135 155 159 189 215 217 265 279 301 315 371 387 465 477 645 651 795 837 903 945 1085 1113 1161 1333 1395 1431 1505 1643 1855 1935 1953 2279 2385 2709 3255 3339 3999 4185 4515 4929 5565 5805 5859 6665 6837 7155 8127 8215 9331 9765 10017 11395 11501 11997 13545 14787 15953 16695 19995 20511 24645 27993 29295 34185 34503 35991 40635 44361 46655 47859 50085 57505 59985 61533 70649 73935 79765 83979 102555 103509 139965 143577 172515 179955 211947 221805 239295 251937 307665 310527 353245 419895 430731 494543 517545 635841 717885 1059735 1259685 1483629 1552635 1907523 2153655 2472715 3179205 4450887 7418145 9537615 13352661 22254435 66763305