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8067093489 = 3274132472
BaseRepresentation
bin1111000001101011…
…00001001111110001
3202211012122210212100
413200311201033301
5113010133442424
63412253451013
7403624110000
oct74065411761
922735583770
108067093489
11346a733814
1216917a0a69
139b7404a00
14567570c37
1532334edc9
hex1e0d613f1

8067093489 has 135 divisors (see below), whose sum is σ = 15039697803. Its totient is φ = 4164634656.

The previous prime is 8067093443. The next prime is 8067093491. The reversal of 8067093489 is 9843907608.

The square root of 8067093489 is 89817.

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

8067093489 is a `hidden beast` number, since 8 + 0 + 6 + 70 + 93 + 489 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1193357025 + 6873736464 = 34545^2 + 82908^2 .

It is not a de Polignac number, because 8067093489 - 27 = 8067093361 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8067093499) by changing a digit.

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 134 ways as a sum of consecutive naturals, for example, 171640264 + ... + 171640310.

Almost surely, 28067093489 is an apocalyptic number.

8067093489 is the 89817-th square number.

8067093489 is the 44909-th centered octagonal number.

It is an amenable number.

8067093489 is a deficient number, since it is larger than the sum of its proper divisors (6972604314).

8067093489 is an equidigital number, since it uses as much as digits as its factorization.

8067093489 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 54.

The cubic root of 8067093489 is about 2005.5755661703.

The spelling of 8067093489 in words is "eight billion, sixty-seven million, ninety-three thousand, four hundred eighty-nine".

Divisors: 1 3 7 9 13 21 39 47 49 63 91 117 141 147 169 273 329 343 423 441 507 611 637 819 987 1029 1183 1521 1833 1911 2209 2303 2401 2961 3087 3549 4277 4459 5499 5733 6627 6909 7203 7943 8281 10647 12831 13377 15463 16121 19881 20727 21609 23829 24843 28717 29939 31213 38493 40131 46389 48363 55601 57967 71487 74529 86151 89817 93639 108241 112847 139167 145089 166803 173901 201019 209573 258453 269451 280917 324723 338541 373321 389207 405769 500409 521703 603057 628719 757687 974169 1015623 1119963 1167621 1217307 1407133 1467011 1809171 1886157 2273061 2613247 2724449 3359889 3502863 3651921 4221399 4401033 5303809 6819183 7839741 8173347 9849931 12664197 13203099 15911427 18292729 19071143 23519223 24520041 29549793 47734281 54878187 57213429 68949517 88649379 128049103 164634561 171640287 206848551 384147309 620545653 896343721 1152441927 2689031163 8067093489