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282828005505 = 33529671078241
BaseRepresentation
bin1000001110110011101…
…11001110000010000001
31000001000202210022202000
410013121313032002001
514113212432134010
6333532425414213
726301512244423
oct4073167160201
91001022708660
10282828005505
11a9a46043711
124699263a369
1320894308416
14d990690813
157554d607c0
hex41d9dce081

282828005505 has 64 divisors (see below), whose sum is σ = 527907283200. Its totient is φ = 143466301440.

The previous prime is 282828005503. The next prime is 282828005507. The reversal of 282828005505 is 505500828282.

It is an interprime number because it is at equal distance from previous prime (282828005503) and next prime (282828005507).

It is not a de Polignac number, because 282828005505 - 21 = 282828005503 is a prime.

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

It is not an unprimeable number, because it can be changed into a prime (282828005501) 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 63 ways as a sum of consecutive naturals, for example, 276816 + ... + 801425.

It is an arithmetic number, because the mean of its divisors is an integer number (8248551300).

Almost surely, 2282828005505 is an apocalyptic number.

It is an amenable number.

282828005505 is a deficient number, since it is larger than the sum of its proper divisors (245079277695).

282828005505 is a wasteful number, since it uses less digits than its factorization.

282828005505 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1078351 (or 1078345 counting only the distinct ones).

The product of its (nonzero) digits is 512000, while the sum is 45.

The spelling of 282828005505 in words is "two hundred eighty-two billion, eight hundred twenty-eight million, five thousand, five hundred five".

Divisors: 1 3 5 9 15 27 29 45 67 87 135 145 201 261 335 435 603 783 1005 1305 1809 1943 3015 3915 5829 9045 9715 17487 29145 52461 87435 262305 1078241 3234723 5391205 9704169 16173615 29112507 31268989 48520845 72242147 93806967 145562535 156344945 216726441 281420901 361210735 469034835 650179323 844262703 1083632205 1407104505 1950537969 2095022263 3250896615 4221313515 6285066789 9752689845 10475111315 18855200367 31425333945 56565601101 94276001835 282828005505