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66772630242 = 232109149228409
BaseRepresentation
bin111110001011111101…
…010111101011100010
320101100111111001212100
4332023331113223202
52043222243131432
650401441111230
74552454664243
oct761375275342
9211314431770
1066772630242
112635545543a
1210b36028516
1363b19150c6
143336144cca
151b0c10807c
hexf8bf57ae2

66772630242 has 48 divisors (see below), whose sum is σ = 146981835000. Its totient is φ = 21905240832.

The previous prime is 66772630237. The next prime is 66772630247. The reversal of 66772630242 is 24203627766.

66772630242 is a `hidden beast` number, since 6 + 6 + 7 + 7 + 2 + 630 + 2 + 4 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (66772630237) and next prime (66772630247).

It can be written as a sum of positive squares in 4 ways, for example, as 61871090121 + 4901540121 = 248739^2 + 70011^2 .

It is not an unprimeable number, because it can be changed into a prime (66772630247) 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 23 ways as a sum of consecutive naturals, for example, 178134 + ... + 406542.

Almost surely, 266772630242 is an apocalyptic number.

66772630242 is an abundant number, since it is smaller than the sum of its proper divisors (80209204758).

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

66772630242 is a wasteful number, since it uses less digits than its factorization.

66772630242 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228675 (or 228672 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 45.

The spelling of 66772630242 in words is "sixty-six billion, seven hundred seventy-two million, six hundred thirty thousand, two hundred forty-two".

Divisors: 1 2 3 6 9 18 109 149 218 298 327 447 654 894 981 1341 1962 2682 16241 32482 48723 97446 146169 228409 292338 456818 685227 1370454 2055681 4111362 24896581 34032941 49793162 68065882 74689743 102098823 149379486 204197646 224069229 306296469 448138458 612592938 3709590569 7419181138 11128771707 22257543414 33386315121 66772630242