Search a number
-
+
65440441728 = 273447134293
BaseRepresentation
bin111100111100100011…
…011110010110000000
320020220122201212210000
4330330203132112000
52033010223113403
650021331440000
74504450401564
oct747443362600
9206818655700
1065440441728
11258314724a2
1210823a56000
13622b919c8c
14324b2456a4
151a801aa7a3
hexf3c8de580

65440441728 has 160 divisors (see below), whose sum is σ = 198894785760. Its totient is φ = 21349204992.

The previous prime is 65440441697. The next prime is 65440441739. The reversal of 65440441728 is 82714404456.

65440441728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 420150 + ... + 554442.

It is an arithmetic number, because the mean of its divisors is an integer number (1243092411).

Almost surely, 265440441728 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 65440441728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (99447392880).

65440441728 is an abundant number, since it is smaller than the sum of its proper divisors (133454344032).

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

65440441728 is a wasteful number, since it uses less digits than its factorization.

65440441728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134366 (or 134345 counting only the distinct ones).

The product of its (nonzero) digits is 860160, while the sum is 45.

The spelling of 65440441728 in words is "sixty-five billion, four hundred forty million, four hundred forty-one thousand, seven hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 47 48 54 64 72 81 94 96 108 128 141 144 162 188 192 216 282 288 324 376 384 423 432 564 576 648 752 846 864 1128 1152 1269 1296 1504 1692 1728 2256 2538 2592 3008 3384 3456 3807 4512 5076 5184 6016 6768 7614 9024 10152 10368 13536 15228 18048 20304 27072 30456 40608 54144 60912 81216 121824 134293 162432 243648 268586 402879 487296 537172 805758 1074344 1208637 1611516 2148688 2417274 3223032 3625911 4297376 4834548 6311771 6446064 7251822 8594752 9669096 10877733 12623542 12892128 14503644 17189504 18935313 19338192 21755466 25247084 25784256 29007288 37870626 38676384 43510932 50494168 51568512 56805939 58014576 75741252 77352768 87021864 100988336 113611878 116029152 151482504 154705536 170417817 174043728 201976672 227223756 232058304 302965008 340835634 348087456 403953344 454447512 464116608 511253451 605930016 681671268 696174912 807906688 908895024 1022506902 1211860032 1363342536 1392349824 1817790048 2045013804 2423720064 2726685072 3635580096 4090027608 5453370144 7271160192 8180055216 10906740288 16360110432 21813480576 32720220864 65440441728