Search a number
-
+
86074375725 = 32521353678287
BaseRepresentation
bin101000000101001101…
…1101011111000101101
322020011200010022222200
41100022123223320231
52402240020010400
6103313024332113
76135001056552
oct1201233537055
9266150108880
1086074375725
113355a817508
1214822174039
138169741c90
1442477c8a29
15238b8e8b00
hex140a6ebe2d

86074375725 has 144 divisors (see below), whose sum is σ = 171706010112. Its totient is φ = 40950074880.

The previous prime is 86074375691. The next prime is 86074375747. The reversal of 86074375725 is 52757347068.

It is a happy number.

86074375725 is a `hidden beast` number, since 8 + 60 + 7 + 4 + 3 + 7 + 572 + 5 = 666.

It is not a de Polignac number, because 86074375725 - 215 = 86074342957 is a prime.

It is a Curzon number.

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 143 ways as a sum of consecutive naturals, for example, 10382532 + ... + 10390818.

It is an arithmetic number, because the mean of its divisors is an integer number (1192402848).

Almost surely, 286074375725 is an apocalyptic number.

It is an amenable number.

86074375725 is a deficient number, since it is larger than the sum of its proper divisors (85631634387).

86074375725 is a wasteful number, since it uses less digits than its factorization.

86074375725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8436 (or 8428 counting only the distinct ones).

The product of its (nonzero) digits is 9878400, while the sum is 54.

The spelling of 86074375725 in words is "eighty-six billion, seventy-four million, three hundred seventy-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 13 15 25 39 45 53 65 67 75 117 159 195 201 225 265 325 335 477 585 603 689 795 871 975 1005 1325 1675 2067 2385 2613 2925 3015 3445 3551 3975 4355 5025 6201 7839 8287 10335 10653 11925 13065 15075 17225 17755 21775 24861 31005 31959 39195 41435 46163 51675 53265 65325 74583 88775 107731 124305 138489 155025 159795 195975 207175 230815 266325 323193 372915 415467 439211 538655 555229 621525 692445 798975 969579 1154075 1317633 1615965 1665687 1864575 2077335 2196055 2693275 2776145 3462225 3952899 4847895 4997061 5709743 6588165 7217977 8079825 8328435 10386675 10980275 13880725 17129229 19764495 21653931 24239475 24985305 28548715 29427137 32940825 36089885 41642175 51387687 64961793 85646145 88281411 98822475 108269655 124926525 142743575 147135685 180449425 256938435 264844233 324808965 382552781 428230725 441407055 541348275 735678425 1147658343 1284692175 1324221165 1624044825 1912763905 2207035275 3442975029 5738291715 6621105825 9563819525 17214875145 28691458575 86074375725