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67685306896 = 2419323372
BaseRepresentation
bin111111000010010110…
…111101001000010000
320110201002211211212101
4333002112331020100
52102104414310041
651032203010144
74614206421154
oct770226751020
9213632754771
1067685306896
1126783655969
121114b809954
1364c8a2976c
1433c1441064
151b622dab31
hexfc25bd210

67685306896 has 45 divisors (see below), whose sum is σ = 132215613831. Its totient is φ = 33567399936.

The previous prime is 67685306881. The next prime is 67685306947. The reversal of 67685306896 is 69860358676.

The square root of 67685306896 is 260164.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 16138145296 + 51547161600 = 127036^2 + 227040^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 200846440 + ... + 200846776.

Almost surely, 267685306896 is an apocalyptic number.

67685306896 is the 260164-th square number.

It is an amenable number.

67685306896 is a deficient number, since it is larger than the sum of its proper divisors (64530306935).

67685306896 is an frugal number, since it uses more digits than its factorization.

67685306896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1068 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 78382080, while the sum is 64.

Multiplying 67685306896 by its sum of digits (64), we get a square (4331859641344 = 20813122).

The spelling of 67685306896 in words is "sixty-seven billion, six hundred eighty-five million, three hundred six thousand, eight hundred ninety-six".

Divisors: 1 2 4 8 16 193 337 386 674 772 1348 1544 2696 3088 5392 37249 65041 74498 113569 130082 148996 227138 260164 297992 454276 520328 595984 908552 1040656 1817104 12552913 21918817 25105826 43837634 50211652 87675268 100423304 175350536 200846608 350701072 4230331681 8460663362 16921326724 33842653448 67685306896