Search a number
-
+
104366328460065 = 3457103357412813
BaseRepresentation
bin10111101110101110101101…
…111011110011001100100001
3111200112022201212122010220000
4113232232231323303030201
5102134414220041210230
61005545121315010213
730661134624526440
oct2756565573631441
9450468655563800
10104366328460065
1130288569655891
12b856a88299969
13463091964a089
141bab500416d57
15c0ec1b055b60
hex5eebadef3321

104366328460065 has 80 divisors (see below), whose sum is σ = 215888776866048. Its totient is φ = 47247114443904.

The previous prime is 104366328460057. The next prime is 104366328460129. The reversal of 104366328460065 is 560064823663401.

104366328460065 is a `hidden beast` number, since 1 + 0 + 4 + 3 + 6 + 6 + 3 + 28 + 4 + 600 + 6 + 5 = 666.

It is not a de Polignac number, because 104366328460065 - 23 = 104366328460057 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 104366328459993 and 104366328460020.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 178414402 + ... + 178998411.

Almost surely, 2104366328460065 is an apocalyptic number.

104366328460065 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

104366328460065 is an abundant number, since it is smaller than the sum of its proper divisors (111522448405983).

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

104366328460065 is a wasteful number, since it uses less digits than its factorization.

104366328460065 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 357412940 (or 357412931 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 54.

The spelling of 104366328460065 in words is "one hundred four trillion, three hundred sixty-six billion, three hundred twenty-eight million, four hundred sixty thousand, sixty-five".

Divisors: 1 3 5 7 9 15 21 27 35 45 63 81 103 105 135 189 309 315 405 515 567 721 927 945 1545 2163 2781 2835 3605 4635 6489 8343 10815 13905 19467 32445 41715 58401 97335 292005 357412813 1072238439 1787064065 2501889691 3216715317 5361192195 7505669073 9650145951 12509448455 16083576585 22517007219 28950437853 36813519739 37528345365 48250729755 67551021657 110440559217 112585036095 144752189265 184067598695 202653064971 257694638173 331321677651 337755108285 552202796085 773083914519 993965032953 1013265324855 1288473190865 1656608388255 2319251743557 2981895098859 3865419572595 4969825164765 6957755230671 11596258717785 14909475494295 20873265692013 34788776153355 104366328460065