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8045870468625 = 3253114713833433
BaseRepresentation
bin111010100010101001101…
…0000000100111000010001
31001111011210112202122101200
41311011103100010320101
52023310420314444000
625040115531221413
71460203112366013
oct165052320047021
931434715678350
108045870468625
112622264140240
12a9b4158a7869
13464950c5c0a2
141db5ca77c1b3
15de458eea500
hex75153404e11

8045870468625 has 96 divisors (see below), whose sum is σ = 16159221591552. Its totient is φ = 3818027232000.

The previous prime is 8045870468621. The next prime is 8045870468683. The reversal of 8045870468625 is 5268640785408.

8045870468625 is a `hidden beast` number, since 8 + 0 + 4 + 587 + 0 + 46 + 8 + 6 + 2 + 5 = 666.

It is not a de Polignac number, because 8045870468625 - 22 = 8045870468621 is a prime.

It is not an unprimeable number, because it can be changed into a prime (8045870468621) 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 95 ways as a sum of consecutive naturals, for example, 6335092 + ... + 7498341.

It is an arithmetic number, because the mean of its divisors is an integer number (168325224912).

Almost surely, 28045870468625 is an apocalyptic number.

It is an amenable number.

8045870468625 is an abundant number, since it is smaller than the sum of its proper divisors (8113351122927).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

8045870468625 is a wasteful number, since it uses less digits than its factorization.

8045870468625 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13833512 (or 13833499 counting only the distinct ones).

The product of its (nonzero) digits is 103219200, while the sum is 63.

The spelling of 8045870468625 in words is "eight trillion, forty-five billion, eight hundred seventy million, four hundred sixty-eight thousand, six hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 33 45 47 55 75 99 125 141 165 225 235 275 375 423 495 517 705 825 1125 1175 1375 1551 2115 2475 2585 3525 4125 4653 5875 7755 10575 12375 12925 17625 23265 38775 52875 64625 116325 193875 581625 13833433 41500299 69167165 124500897 152167763 207501495 345835825 456503289 622504485 650171351 760838815 1037507475 1369509867 1729179125 1950514053 2282516445 3112522425 3250856755 3804194075 5187537375 5851542159 6847549335 7151884861 9752570265 11412582225 15562612125 16254283775 19020970375 21455654583 29257710795 34237746675 35759424305 48762851325 57062911125 64366963749 81271418875 107278272915 146288553975 171188733375 178797121525 243814256625 321834818745 536391364575 731442769875 893985607625 1609174093725 2681956822875 8045870468625