Search a number
-
+
86482055808 = 273373342791
BaseRepresentation
bin101000010001010111…
…0110111001010000000
322021020002020121221000
41100202232313022000
52404103401241213
6103421310332000
76151051226331
oct1204256671200
9267202217830
1086482055808
11337499585a5
12149167ba000
1382030421b5
1442859cc288
1523b25c7c73
hex1422bb7280

86482055808 has 128 divisors (see below), whose sum is σ = 258739401600. Its totient is φ = 28432373760.

The previous prime is 86482055771. The next prime is 86482055813. The reversal of 86482055808 is 80855028468.

It is a happy number.

86482055808 is a `hidden beast` number, since 8 + 6 + 4 + 82 + 0 + 558 + 0 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 80893 + ... + 423683.

It is an arithmetic number, because the mean of its divisors is an integer number (2021401575).

Almost surely, 286482055808 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86482055808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (129369700800).

86482055808 is an abundant number, since it is smaller than the sum of its proper divisors (172257345792).

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

86482055808 is a wasteful number, since it uses less digits than its factorization.

86482055808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 342887 (or 342869 counting only the distinct ones).

The product of its (nonzero) digits is 4915200, while the sum is 54.

The spelling of 86482055808 in words is "eighty-six billion, four hundred eighty-two million, fifty-five thousand, eight hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 73 96 108 128 144 146 192 216 219 288 292 384 432 438 576 584 657 864 876 1152 1168 1314 1728 1752 1971 2336 2628 3456 3504 3942 4672 5256 7008 7884 9344 10512 14016 15768 21024 28032 31536 42048 63072 84096 126144 252288 342791 685582 1028373 1371164 2056746 2742328 3085119 4113492 5484656 6170238 8226984 9255357 10969312 12340476 16453968 18510714 21938624 24680952 25023743 32907936 37021428 43877248 49361904 50047486 65815872 74042856 75071229 98723808 100094972 131631744 148085712 150142458 197447616 200189944 225213687 296171424 300284916 394895232 400379888 450427374 592342848 600569832 675641061 800759776 900854748 1184685696 1201139664 1351282122 1601519552 1801709496 2402279328 2702564244 3203039104 3603418992 4804558656 5405128488 7206837984 9609117312 10810256976 14413675968 21620513952 28827351936 43241027904 86482055808