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2044486656 = 210341572
BaseRepresentation
bin111100111011100…
…0110010000000000
312021111001200110000
41321313012100000
513141342033111
6534512240000
7101443564332
oct17167062000
95244050400
102044486656
1195a0720a3
12490840000
13267752124
14155759452
15be74dc56
hex79dc6400

2044486656 has 165 divisors, whose sum is σ = 6144371409. Its totient is φ = 677154816.

The previous prime is 2044486649. The next prime is 2044486667. The reversal of 2044486656 is 6566844402.

The square root of 2044486656 is 45216.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 599270400 + 1445216256 = 24480^2 + 38016^2 .

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 14 ways as a sum of consecutive naturals, for example, 13022130 + ... + 13022286.

Almost surely, 22044486656 is an apocalyptic number.

2044486656 is the 45216-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2044486656

2044486656 is an abundant number, since it is smaller than the sum of its proper divisors (4099884753).

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

2044486656 is an frugal number, since it uses more digits than its factorization.

2044486656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 346 (or 162 counting only the distinct ones).

The product of its (nonzero) digits is 1105920, while the sum is 45.

The cubic root of 2044486656 is about 1269.1942428548.

The spelling of 2044486656 in words is "two billion, forty-four million, four hundred eighty-six thousand, six hundred fifty-six".