Search a number
-
+
64577881606240 = 2552323720620843
BaseRepresentation
bin11101010111011101101011…
…01100011000100001100000
322110122120210121021110012201
432223232311230120201200
531431021000142344430
6345202400320502544
716413412051516552
oct1653566554304140
9273576717243181
1064577881606240
1119638364696702
1272ab761a7aa54
132a0588ba9b662
1411d382c55b4d2
1576ec43bb28ca
hex3abbb5b18860

64577881606240 has 144 divisors (see below), whose sum is σ = 163797385178448. Its totient is φ = 24040272503808.

The previous prime is 64577881606163. The next prime is 64577881606243. The reversal of 64577881606240 is 4260618877546.

64577881606240 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 not an unprimeable number, because it can be changed into a prime (64577881606243) 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 23 ways as a sum of consecutive naturals, for example, 7178742 + ... + 13442101.

It is an arithmetic number, because the mean of its divisors is an integer number (1137481841517).

Almost surely, 264577881606240 is an apocalyptic number.

It is an amenable number.

64577881606240 is an abundant number, since it is smaller than the sum of its proper divisors (99219503572208).

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

64577881606240 is a wasteful number, since it uses less digits than its factorization.

64577881606240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20620941 (or 20620910 counting only the distinct ones).

The product of its (nonzero) digits is 108380160, while the sum is 64.

The spelling of 64577881606240 in words is "sixty-four trillion, five hundred seventy-seven billion, eight hundred eighty-one million, six hundred six thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 23 32 37 40 46 74 80 92 115 148 160 184 185 230 296 368 370 460 529 592 736 740 851 920 1058 1184 1480 1702 1840 2116 2645 2960 3404 3680 4232 4255 5290 5920 6808 8464 8510 10580 13616 16928 17020 19573 21160 27232 34040 39146 42320 68080 78292 84640 97865 136160 156584 195730 313168 391460 626336 782920 1565840 3131680 20620843 41241686 82483372 103104215 164966744 206208430 329933488 412416860 474279389 659866976 762971191 824833720 948558778 1525942382 1649667440 1897117556 2371396945 3051884764 3299334880 3794235112 3814855955 4742793890 6103769528 7588470224 7629711910 9485587780 10908425947 12207539056 15176940448 15259423820 17548337393 18971175560 21816851894 24415078112 30518847640 35096674786 37942351120 43633703788 54542129735 61037695280 70193349572 75884702240 87267407576 87741686965 109084259470 122075390560 140386699144 174534815152 175483373930 218168518940 280773398288 349069630304 350966747860 403611760039 436337037880 561546796576 701933495720 807223520078 872674075760 1403866991440 1614447040156 1745348151520 2018058800195 2807733982880 3228894080312 4036117600390 6457788160624 8072235200780 12915576321248 16144470401560 32288940803120 64577881606240