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66786434 = 21121322371
BaseRepresentation
bin1111111011000…
…1010010000010
311122200002202122
43332301102002
5114044131214
610343244242
71440450431
oct376612202
9148602678
1066786434
1134776700
121a449682
1310ab4c00
148c27118
155ce388e
hex3fb1482

66786434 has 72 divisors (see below), whose sum is σ = 126173376. Its totient is φ = 26426400.

The previous prime is 66786403. The next prime is 66786451. The reversal of 66786434 is 43468766.

It is a happy number.

66786434 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

Its product of digits (580608) is a multiple of the sum of its prime factors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 940619 + ... + 940689.

It is an arithmetic number, because the mean of its divisors is an integer number (1752408).

Almost surely, 266786434 is an apocalyptic number.

66786434 is a deficient number, since it is larger than the sum of its proper divisors (59386942).

66786434 is a wasteful number, since it uses less digits than its factorization.

66786434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144 (or 120 counting only the distinct ones).

The product of its digits is 580608, while the sum is 44.

The square root of 66786434 is about 8172.2967395953. The cubic root of 66786434 is about 405.7228041471.

The spelling of 66786434 in words is "sixty-six million, seven hundred eighty-six thousand, four hundred thirty-four".

Divisors: 1 2 11 13 22 23 26 46 71 121 142 143 169 242 253 286 299 338 506 598 781 923 1562 1573 1633 1846 1859 2783 3146 3266 3289 3718 3887 5566 6578 7774 8591 10153 11999 17182 17963 20306 20449 21229 23998 35926 36179 40898 42458 42757 72358 85514 111683 131989 197593 223366 233519 263978 275977 395186 467038 470327 551954 940654 1451879 2568709 2903758 3035747 5137418 6071494 33393217 66786434