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44453652316064 = 2561180112644857
BaseRepresentation
bin10100001101110001011000…
…01001111011111110100000
312211101201122110111010121122
422012320230021323332200
521311312034443103224
6234313420445511412
712235445642110325
oct1206705411737640
9184351573433548
1044453652316064
1113189762912212
124b9b4ba272568
131ba5c6633a9c4
14ad97d53d8b4c
1552151c90d15e
hex286e2c27bfa0

44453652316064 has 48 divisors (see below), whose sum is σ = 89002249257096. Its totient is φ = 21850311168000.

The previous prime is 44453652316043. The next prime is 44453652316093. The reversal of 44453652316064 is 46061325635444.

44453652316064 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 27176495019664 + 17277157296400 = 5213108^2 + 4156580^2 .

It is a super-2 number, since 2×444536523160642 (a number of 28 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 44453652315997 and 44453652316015.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 2806877 + ... + 9837980.

Almost surely, 244453652316064 is an apocalyptic number.

It is an amenable number.

44453652316064 is an abundant number, since it is smaller than the sum of its proper divisors (44548596941032).

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

44453652316064 is a wasteful number, since it uses less digits than its factorization.

44453652316064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12646729 (or 12646721 counting only the distinct ones).

The product of its (nonzero) digits is 24883200, while the sum is 53.

The spelling of 44453652316064 in words is "forty-four trillion, four hundred fifty-three billion, six hundred fifty-two million, three hundred sixteen thousand, sixty-four".

Divisors: 1 2 4 8 16 32 61 122 244 488 976 1801 1952 3602 7204 14408 28816 57632 109861 219722 439444 878888 1757776 3515552 12644857 25289714 50579428 101158856 202317712 404635424 771336277 1542672554 3085345108 6170690216 12341380432 22773387457 24682760864 45546774914 91093549828 182187099656 364374199312 728748398624 1389176634877 2778353269754 5556706539508 11113413079016 22226826158032 44453652316064