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61442024416 = 2510931756691
BaseRepresentation
bin111001001110001110…
…101110001111100000
312212121000000020100221
4321032032232033200
52001313124240131
644120455452424
74303406406343
oct711616561740
9185530006327
1061442024416
112406a46a383
12baa8987114
135a42430a86
142d8c1c445a
1518e9149411
hexe4e3ae3e0

61442024416 has 24 divisors (see below), whose sum is σ = 121074726024. Its totient is φ = 30692887680.

The previous prime is 61442024411. The next prime is 61442024419.

61442024416 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (61442024411) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 843370 + ... + 913321.

It is an arithmetic number, because the mean of its divisors is an integer number (5044780251).

Almost surely, 261442024416 is an apocalyptic number.

It is an amenable number.

61442024416 is a deficient number, since it is larger than the sum of its proper divisors (59632701608).

61442024416 is a wasteful number, since it uses less digits than its factorization.

61442024416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1757794 (or 1757786 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 34.

It can be divided in two parts, 614420 and 24416, that added together give a palindrome (638836).

The spelling of 61442024416 in words is "sixty-one billion, four hundred forty-two million, twenty-four thousand, four hundred sixteen".

Divisors: 1 2 4 8 16 32 1093 2186 4372 8744 17488 34976 1756691 3513382 7026764 14053528 28107056 56214112 1920063263 3840126526 7680253052 15360506104 30721012208 61442024416