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8066129085 = 3257172114879
BaseRepresentation
bin1111000001100011…
…10101110010111101
3202211010211210221200
413200301311302331
5113004412112320
63412221050113
7403612652220
oct74061656275
922733753850
108066129085
11346a135193
1216913b6939
139b7157a61
1456739d5b7
1532320e290
hex1e0c75cbd

8066129085 has 48 divisors (see below), whose sum is σ = 15988976640. Its totient is φ = 3684983040.

The previous prime is 8066129053. The next prime is 8066129101. The reversal of 8066129085 is 5809216608.

It is not a de Polignac number, because 8066129085 - 25 = 8066129053 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 8066129085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 534676 + ... + 549554.

It is an arithmetic number, because the mean of its divisors is an integer number (333103680).

Almost surely, 28066129085 is an apocalyptic number.

It is an amenable number.

8066129085 is a deficient number, since it is larger than the sum of its proper divisors (7922847555).

8066129085 is a wasteful number, since it uses less digits than its factorization.

8066129085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16618 (or 16615 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The square root of 8066129085 is about 89811.6311231457. The cubic root of 8066129085 is about 2005.4956422100.

It can be divided in two parts, 80661 and 29085, that added together give a triangular number (109746 = T468).

The spelling of 8066129085 in words is "eight billion, sixty-six million, one hundred twenty-nine thousand, eighty-five".

Divisors: 1 3 5 7 9 15 21 35 45 63 105 315 1721 5163 8605 12047 14879 15489 25815 36141 44637 60235 74395 77445 104153 108423 133911 180705 223185 312459 520765 542115 669555 937377 1562295 4686885 25606759 76820277 128033795 179247313 230460831 384101385 537741939 896236565 1152304155 1613225817 2688709695 8066129085