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44621025696 = 25321343277163
BaseRepresentation
bin101001100011100111…
…101101000110100000
311021011201022222001100
4221203213231012200
51212340440310241
632255411234400
73136515313632
oct514347550640
9137151288040
1044621025696
1117a18451045
1287935a8a00
134291551ab0
1422341bca52
15126252e9b6
hexa639ed1a0

44621025696 has 144 divisors (see below), whose sum is σ = 139830346656. Its totient is φ = 13410206208.

The previous prime is 44621025649. The next prime is 44621025707. The reversal of 44621025696 is 69652012644.

It is a tau number, because it is divible by the number of its divisors (144).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22411 + ... + 299573.

It is an arithmetic number, because the mean of its divisors is an integer number (971044074).

Almost surely, 244621025696 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 44621025696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (69915173328).

44621025696 is an abundant number, since it is smaller than the sum of its proper divisors (95209320960).

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

44621025696 is a wasteful number, since it uses less digits than its factorization.

44621025696 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277235 (or 277224 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

It can be divided in two parts, 446210 and 25696, that added together give a triangular number (471906 = T971).

The spelling of 44621025696 in words is "forty-four billion, six hundred twenty-one million, twenty-five thousand, six hundred ninety-six".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 32 36 39 43 48 52 72 78 86 96 104 117 129 144 156 172 208 234 258 288 312 344 387 416 468 516 559 624 688 774 936 1032 1118 1248 1376 1548 1677 1872 2064 2236 3096 3354 3744 4128 4472 5031 6192 6708 8944 10062 12384 13416 17888 20124 26832 40248 53664 80496 160992 277163 554326 831489 1108652 1662978 2217304 2494467 3325956 3603119 4434608 4988934 6651912 7206238 8869216 9977868 10809357 11918009 13303824 14412476 19955736 21618714 23836018 26607648 28824952 32428071 35754027 39911472 43237428 47672036 57649904 64856142 71508054 79822944 86474856 95344072 107262081 115299808 129712284 143016108 154934117 172949712 190688144 214524162 259424568 286032216 309868234 345899424 381376288 429048324 464802351 518849136 572064432 619736468 858096648 929604702 1037698272 1144128864 1239472936 1394407053 1716193296 1859209404 2478945872 2788814106 3432386592 3718418808 4957891744 5577628212 7436837616 11155256424 14873675232 22310512848 44621025696