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2983686144 = 2123242813
BaseRepresentation
bin1011000111010111…
…0111000000000000
321200221022221221020
42301311313000000
522102310424034
61212022425440
7133636625265
oct26165670000
97627287836
102983686144
1112a123861a
126b3292280
133871c1b7a
1420439b26c
15126e20249
hexb1d77000

2983686144 has 52 divisors (see below), whose sum is σ = 7955557896. Its totient is φ = 994557952.

The previous prime is 2983686131. The next prime is 2983686151. The reversal of 2983686144 is 4416863892.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 109119 + ... + 133694.

It is an arithmetic number, because the mean of its divisors is an integer number (152991498).

Almost surely, 22983686144 is an apocalyptic number.

2983686144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2983686144 is an abundant number, since it is smaller than the sum of its proper divisors (4971871752).

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

2983686144 is an equidigital number, since it uses as much as digits as its factorization.

2983686144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242840 (or 242818 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 51.

The square root of 2983686144 is about 54623.1282882993. The cubic root of 2983686144 is about 1439.6305224909.

The spelling of 2983686144 in words is "two billion, nine hundred eighty-three million, six hundred eighty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 512 768 1024 1536 2048 3072 4096 6144 12288 242813 485626 728439 971252 1456878 1942504 2913756 3885008 5827512 7770016 11655024 15540032 23310048 31080064 46620096 62160128 93240192 124320256 186480384 248640512 372960768 497281024 745921536 994562048 1491843072 2983686144