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2061446144 = 2104346817
BaseRepresentation
bin111101011011111…
…0010110000000000
312022122222022111012
41322313302300000
513210212234034
6540315540052
7102041001032
oct17267626000
95278868435
102061446144
119686a5aaa
1249645a628
1326b10c624
14157ad1c52
15c0e9dcce
hex7adf2c00

2061446144 has 44 divisors (see below), whose sum is σ = 4216803624. Its totient is φ = 1006731264.

The previous prime is 2061446131. The next prime is 2061446147. The reversal of 2061446144 is 4416441602.

It is a super-2 number, since 2×20614461442 = 8499120409224937472, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 2061446144.

It is not an unprimeable number, because it can be changed into a prime (2061446147) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20624 + ... + 67440.

It is an arithmetic number, because the mean of its divisors is an integer number (95836446).

Almost surely, 22061446144 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 2061446144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2108401812).

2061446144 is an abundant number, since it is smaller than the sum of its proper divisors (2155357480).

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

2061446144 is an equidigital number, since it uses as much as digits as its factorization.

2061446144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46880 (or 46862 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 32.

The square root of 2061446144 is about 45403.1512562730. The cubic root of 2061446144 is about 1272.6940030982.

Adding to 2061446144 its reverse (4416441602), we get a palindrome (6477887746).

The spelling of 2061446144 in words is "two billion, sixty-one million, four hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 32 43 64 86 128 172 256 344 512 688 1024 1376 2752 5504 11008 22016 44032 46817 93634 187268 374536 749072 1498144 2013131 2996288 4026262 5992576 8052524 11985152 16105048 23970304 32210096 47940608 64420192 128840384 257680768 515361536 1030723072 2061446144