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1361941568 = 26135772837
BaseRepresentation
bin101000100101101…
…1001010001000000
310111220201210121022
41101023121101000
510242124112233
6343051045012
745515212061
oct12113312100
93456653538
101361941568
11639864949
12320140768
131892148b0
14ccc46568
157e878398
hex512d9440

1361941568 has 56 divisors (see below), whose sum is σ = 2916567192. Its totient is φ = 627277824.

The previous prime is 1361941561. The next prime is 1361941577. The reversal of 1361941568 is 8651491631.

It can be written as a sum of positive squares in 4 ways, for example, as 82591744 + 1279349824 = 9088^2 + 35768^2 .

It is not an unprimeable number, because it can be changed into a prime (1361941561) 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, 478646 + ... + 481482.

It is an arithmetic number, because the mean of its divisors is an integer number (52081557).

Almost surely, 21361941568 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 1361941568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1458283596).

1361941568 is an abundant number, since it is smaller than the sum of its proper divisors (1554625624).

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

1361941568 is a wasteful number, since it uses less digits than its factorization.

1361941568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3439 (or 3429 counting only the distinct ones).

The product of its digits is 155520, while the sum is 44.

The square root of 1361941568 is about 36904.4925178494. The cubic root of 1361941568 is about 1108.4586370828.

The spelling of 1361941568 in words is "one billion, three hundred sixty-one million, nine hundred forty-one thousand, five hundred sixty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 64 104 208 416 577 832 1154 2308 2837 4616 5674 7501 9232 11348 15002 18464 22696 30004 36881 36928 45392 60008 73762 90784 120016 147524 181568 240032 295048 480064 590096 1180192 1636949 2360384 3273898 6547796 13095592 21280337 26191184 42560674 52382368 85121348 104764736 170242696 340485392 680970784 1361941568