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44255004864 = 263797733703
BaseRepresentation
bin101001001101110011…
…011100100011000000
311020020012121011212020
4221031303130203000
51211113240123424
632155214201440
73124452222540
oct511563344300
9136205534766
1044255004864
111784a884194
1286b0ab3280
134233779715
1421db741320
15124032e079
hexa4dcdc8c0

44255004864 has 112 divisors (see below), whose sum is σ = 133959648768. Its totient is φ = 12630970368.

The previous prime is 44255004779. The next prime is 44255004869. The reversal of 44255004864 is 46840055244.

It is a tau number, because it is divible by the number of its divisors (112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (44255004869) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1296237 + ... + 1329939.

Almost surely, 244255004864 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 44255004864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (66979824384).

44255004864 is an abundant number, since it is smaller than the sum of its proper divisors (89704643904).

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

44255004864 is a wasteful number, since it uses less digits than its factorization.

44255004864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34702 (or 34692 counting only the distinct ones).

The product of its (nonzero) digits is 614400, while the sum is 42.

The spelling of 44255004864 in words is "forty-four billion, two hundred fifty-five million, four thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 168 192 224 336 448 672 977 1344 1954 2931 3908 5862 6839 7816 11724 13678 15632 20517 23448 27356 31264 33703 41034 46896 54712 62528 67406 82068 93792 101109 109424 134812 164136 187584 202218 218848 235921 269624 328272 404436 437696 471842 539248 656544 707763 808872 943684 1078496 1313088 1415526 1617744 1887368 2156992 2831052 3235488 3774736 5662104 6470976 7549472 11324208 15098944 22648416 32927831 45296832 65855662 98783493 131711324 197566986 230494817 263422648 395133972 460989634 526845296 691484451 790267944 921979268 1053690592 1382968902 1580535888 1843958536 2107381184 2765937804 3161071776 3687917072 5531875608 6322143552 7375834144 11063751216 14751668288 22127502432 44255004864