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1641955456 = 2717374149
BaseRepresentation
bin110000111011110…
…0100000010000000
311020102121222110001
41201313210002000
511330320033311
6430532445344
755455251101
oct14167440200
94212558401
101641955456
11772928489
12399a79854
1320223569b
141180d63a8
159923a4c1
hex61de4080

1641955456 has 32 divisors (see below), whose sum is σ = 3290035500. Its totient is φ = 816221184.

The previous prime is 1641955451. The next prime is 1641955459. The reversal of 1641955456 is 6545591461.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 1502337600 + 139617856 = 38760^2 + 11816^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (1641955451) 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 3 ways as a sum of consecutive naturals, for example, 14931 + ... + 59218.

Almost surely, 21641955456 is an apocalyptic number.

1641955456 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1641955456 is an abundant number, since it is smaller than the sum of its proper divisors (1648080044).

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

1641955456 is an equidigital number, since it uses as much as digits as its factorization.

1641955456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74336 (or 74324 counting only the distinct ones).

The product of its digits is 648000, while the sum is 46.

The square root of 1641955456 is about 40521.0495421824. The cubic root of 1641955456 is about 1179.7422246459.

The spelling of 1641955456 in words is "one billion, six hundred forty-one million, nine hundred fifty-five thousand, four hundred fifty-six".

Divisors: 1 2 4 8 16 32 64 128 173 346 692 1384 2768 5536 11072 22144 74149 148298 296596 593192 1186384 2372768 4745536 9491072 12827777 25655554 51311108 102622216 205244432 410488864 820977728 1641955456