Search a number
-
+
8081049091725 = 32521727715434943
BaseRepresentation
bin111010110011000010000…
…0011110111111010001101
31001121112121012112212011100
41311212010003313322031
52024344442031413400
625104214355213313
71462556633634261
oct165460403677215
931545535485140
108081049091725
1126361765a3475
12aa61b2ba7239
13468069193cbc
141dd1a68a40a1
15e03175b1100
hex759840f7e8d

8081049091725 has 144 divisors (see below), whose sum is σ = 15393880300032. Its totient is φ = 4038289274880.

The previous prime is 8081049091723. The next prime is 8081049091763. The reversal of 8081049091725 is 5271909401808.

It is a happy number.

8081049091725 is a `hidden beast` number, since 8 + 0 + 81 + 0 + 490 + 9 + 1 + 72 + 5 = 666.

It is not a de Polignac number, because 8081049091725 - 21 = 8081049091723 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8081049091723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1634844604 + ... + 1634849546.

It is an arithmetic number, because the mean of its divisors is an integer number (106901946528).

Almost surely, 28081049091725 is an apocalyptic number.

8081049091725 is a gapful number since it is divisible by the number (85) formed by its first and last digit.

It is an amenable number.

8081049091725 is a deficient number, since it is larger than the sum of its proper divisors (7312831208307).

8081049091725 is a wasteful number, since it uses less digits than its factorization.

8081049091725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6796 (or 6788 counting only the distinct ones).

The product of its (nonzero) digits is 1451520, while the sum is 54.

The spelling of 8081049091725 in words is "eight trillion, eighty-one billion, forty-nine million, ninety-one thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 153 225 255 277 425 765 831 1275 1385 1543 2493 3825 4155 4629 4709 4943 6925 7715 12465 13887 14127 14829 20775 23145 23545 24715 26231 38575 42381 44487 62325 69435 70635 74145 78693 84031 115725 117725 123575 131155 211905 222435 236079 252093 347175 353175 370725 393465 420155 427411 655775 756279 1059525 1112175 1180395 1260465 1282233 1369211 1967325 2100775 2137055 3781395 3846699 4107633 5901975 6302325 6411165 6846055 7265987 7627049 10685275 12322899 18906975 19233495 20538165 21797961 22881147 23276587 32055825 34230275 36329935 38135245 61614495 65393883 68643441 69829761 96167475 102690825 108989805 114405735 116382935 129659833 181649675 190676225 209489283 308072475 326969415 343217205 349148805 388979499 544949025 572028675 581914675 648299165 1047446415 1166938497 1634847075 1716086025 1745744025 1944897495 2112692573 3241495825 5237232075 5834692485 6338077719 9724487475 10563462865 19014233157 29173462425 31690388595 35915773741 52817314325 95071165785 107747321223 158451942975 179578868705 323241963669 475355828925 538736606115 897894343525 1616209818345 2693683030575 8081049091725