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442282246763764 = 2211311380723484743
BaseRepresentation
bin110010010010000001101110…
…0001101010111010011110100
32010222222202210020010011101111
41210210003130031113103310
5430432323020132420024
64204353354220004404
7162105560244300421
oct14444033415272364
92128882706104344
10442282246763764
11118a19936029690
1241731319690704
1315ca3063126564
147b308099a0d48
15361eb99b23a94
hex19240dc3574f4

442282246763764 has 48 divisors (see below), whose sum is σ = 871657503768576. Its totient is φ = 194538208831200.

The previous prime is 442282246763761. The next prime is 442282246763807. The reversal of 442282246763764 is 467367642282244.

It is a super-2 number, since 2×4422822467637642 (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 442282246763764.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (442282246763761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7090377 + ... + 30575119.

It is an arithmetic number, because the mean of its divisors is an integer number (18159531328512).

Almost surely, 2442282246763764 is an apocalyptic number.

442282246763764 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

442282246763764 is a deficient number, since it is larger than the sum of its proper divisors (429375257004812).

442282246763764 is a wasteful number, since it uses less digits than its factorization.

442282246763764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23498596 (or 23498594 counting only the distinct ones).

The product of its digits is 1040449536, while the sum is 67.

The spelling of 442282246763764 in words is "four hundred forty-two trillion, two hundred eighty-two billion, two hundred forty-six million, seven hundred sixty-three thousand, seven hundred sixty-four".

Divisors: 1 2 4 11 22 31 44 62 124 341 682 1364 13807 27614 55228 151877 303754 428017 607508 856034 1712068 4708187 9416374 18832748 23484743 46969486 93938972 258332173 516664346 728027033 1033328692 1456054066 2912108132 8008297363 16016594726 32033189452 324253846601 648507693202 1297015386404 3566792312611 7133584625222 10051869244631 14267169250444 20103738489262 40207476978524 110570561690941 221141123381882 442282246763764