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1816422144 = 2835940087
BaseRepresentation
bin110110001000100…
…0110011100000000
311200120220210202020
41230101012130000
512210001002034
6500124121440
763004222245
oct15421063400
94616823666
101816422144
11852360929
12428396280
1322c41cb04
1413334d5cc
15a96ee249
hex6c446700

1816422144 has 72 divisors (see below), whose sum is σ = 4916392320. Its totient is φ = 595196928.

The previous prime is 1816422143. The next prime is 1816422169. The reversal of 1816422144 is 4412246181.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1816422143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 25269 + ... + 65355.

Almost surely, 21816422144 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 1816422144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2458196160).

1816422144 is an abundant number, since it is smaller than the sum of its proper divisors (3099970176).

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

1816422144 is an equidigital number, since it uses as much as digits as its factorization.

1816422144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40165 (or 40151 counting only the distinct ones).

The product of its digits is 12288, while the sum is 33.

The square root of 1816422144 is about 42619.5042674126. The cubic root of 1816422144 is about 1220.1285683729.

The spelling of 1816422144 in words is "one billion, eight hundred sixteen million, four hundred twenty-two thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 59 64 96 118 128 177 192 236 256 354 384 472 708 768 944 1416 1888 2832 3776 5664 7552 11328 15104 22656 40087 45312 80174 120261 160348 240522 320696 481044 641392 962088 1282784 1924176 2365133 2565568 3848352 4730266 5131136 7095399 7696704 9460532 10262272 14190798 15393408 18921064 28381596 30786816 37842128 56763192 75684256 113526384 151368512 227052768 302737024 454105536 605474048 908211072 1816422144