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8057411325 = 32521133111019
BaseRepresentation
bin1111000000100001…
…00101011011111101
3202210112102220102200
413200100211123331
5113000144130300
63411310142113
7403445603055
oct74020453375
922715386380
108057411325
113465220427
12168a4b1939
139b53c4a12
14566170565
1532258b200
hex1e04256fd

8057411325 has 72 divisors (see below), whose sum is σ = 14620582080. Its totient is φ = 4241395200.

The previous prime is 8057411291. The next prime is 8057411353. The reversal of 8057411325 is 5231147508.

8057411325 is a `hidden beast` number, since 80 + 574 + 1 + 1 + 3 + 2 + 5 = 666.

It is not a de Polignac number, because 8057411325 - 26 = 8057411261 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 8057411325.

It is a congruent 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 71 ways as a sum of consecutive naturals, for example, 7906666 + ... + 7907684.

It is an arithmetic number, because the mean of its divisors is an integer number (203063640).

Almost surely, 28057411325 is an apocalyptic number.

It is an amenable number.

8057411325 is a deficient number, since it is larger than the sum of its proper divisors (6563170755).

8057411325 is a wasteful number, since it uses less digits than its factorization.

8057411325 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1459 (or 1451 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 8057411325 is about 89763.0844222724. The cubic root of 8057411325 is about 2004.7728778412.

The spelling of 8057411325 in words is "eight billion, fifty-seven million, four hundred eleven thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 45 75 113 225 311 339 565 933 1017 1019 1555 1695 2799 2825 3057 4665 5085 5095 7775 8475 9171 13995 15285 23325 25425 25475 35143 45855 69975 76425 105429 115147 175715 229275 316287 316909 345441 527145 575735 878575 950727 1036323 1581435 1584545 1727205 2635725 2852181 2878675 4753635 5181615 7907175 7922725 8636025 14260905 23768175 25908075 35810717 71304525 107432151 179053585 322296453 537160755 895267925 1611482265 2685803775 8057411325