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86482246050 = 2345246212
BaseRepresentation
bin101000010001010111…
…1100101100110100010
322021020002121021220000
41100202233211212202
52404103423333200
6103421314400430
76151052651064
oct1204257454642
9267202537800
1086482246050
1133749a78522
1214916890116
1382030aa975
144285a3b734
1523b2614300
hex1422be59a2

86482246050 has 90 divisors (see below), whose sum is σ = 240344533539. Its totient is φ = 23056941600.

The previous prime is 86482245991. The next prime is 86482246051. The reversal of 86482246050 is 5064228468.

86482246050 is a `hidden beast` number, since 8 + 64 + 82 + 2 + 460 + 50 = 666.

It can be written as a sum of positive squares in 5 ways, for example, as 20962117089 + 65520128961 = 144783^2 + 255969^2 .

It is a tau number, because it is divible by the number of its divisors (90).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=207945.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 86482245987 and 86482246005.

It is not an unprimeable number, because it can be changed into a prime (86482246051) 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 44 ways as a sum of consecutive naturals, for example, 18712740 + ... + 18717360.

Almost surely, 286482246050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 86482246050

86482246050 is an abundant number, since it is smaller than the sum of its proper divisors (153862287489).

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

86482246050 is an frugal number, since it uses more digits than its factorization.

86482246050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9266 (or 4631 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 45.

The spelling of 86482246050 in words is "eighty-six billion, four hundred eighty-two million, two hundred forty-six thousand, fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 270 405 450 675 810 1350 2025 4050 4621 9242 13863 23105 27726 41589 46210 69315 83178 115525 124767 138630 207945 231050 249534 346575 374301 415890 623835 693150 748602 1039725 1247670 1871505 2079450 3119175 3743010 6238350 9357525 18715050 21353641 42707282 64060923 106768205 128121846 192182769 213536410 320304615 384365538 533841025 576548307 640609230 960913845 1067682050 1153096614 1601523075 1729644921 1921827690 2882741535 3203046150 3459289842 4804569225 5765483070 8648224605 9609138450 14413707675 17296449210 28827415350 43241123025 86482246050