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64918241109140 = 22519297353326237
BaseRepresentation
bin11101100001010111101001…
…01100110110010010010100
322111212010022211201122201112
432300223310230312102110
532002110024210443030
6350023010034114152
716450121350536356
oct1660536454662224
9274763284648645
1064918241109140
1119759742766881
12734570b71b958
132a2b9c12b2213
1412060b98cd0d6
15778a146bca95
hex3b0af4b36494

64918241109140 has 144 divisors (see below), whose sum is σ = 145411118374032. Its totient is φ = 24339163226112.

The previous prime is 64918241109133. The next prime is 64918241109331. The reversal of 64918241109140 is 4190114281946.

64918241109140 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 8 ways, for example, as 1060018503184 + 63858222605956 = 1029572^2 + 7991134^2 .

It is a congruent number.

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 47 ways as a sum of consecutive naturals, for example, 2474288102 + ... + 2474314338.

It is an arithmetic number, because the mean of its divisors is an integer number (1009799433153).

Almost surely, 264918241109140 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 64918241109140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72705559187016).

64918241109140 is an abundant number, since it is smaller than the sum of its proper divisors (80492877264892).

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

64918241109140 is a wasteful number, since it uses less digits than its factorization.

64918241109140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29914 (or 29893 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 50.

The spelling of 64918241109140 in words is "sixty-four trillion, nine hundred eighteen billion, two hundred forty-one million, one hundred nine thousand, one hundred forty".

Divisors: 1 2 4 5 10 19 20 38 76 95 97 190 194 361 380 388 485 722 970 1444 1805 1843 1940 3533 3610 3686 7066 7220 7372 9215 14132 17665 18430 26237 35017 35330 36860 52474 67127 70034 70660 104948 131185 134254 140068 175085 262370 268508 335635 342701 350170 498503 524740 671270 685402 700340 997006 1275413 1342540 1370804 1713505 1994012 2492515 2544989 2550826 3427010 4985030 5089978 5101652 6377065 6511319 6854020 9471557 9970060 10179956 12724945 12754130 13022638 18943114 25449890 25508260 26045276 32556595 37886228 47357785 48354791 50899780 65113190 92695321 94715570 96709582 123715061 130226380 185390642 189431140 193419164 241773955 247430122 370781284 463476605 483547910 494860244 618575305 918741029 926953210 967095820 1237150610 1761211099 1837482058 1853906420 2474301220 3522422198 3674964116 4593705145 7044844396 8806055495 8991446137 9187410290 17612110990 17982892274 18374820580 33463010881 35224221980 35965784548 44957230685 66926021762 89914461370 133852043524 167315054405 170837476603 179828922740 334630108810 341674953206 669260217620 683349906412 854187383015 1708374766030 3245912055457 3416749532060 6491824110914 12983648221828 16229560277285 32459120554570 64918241109140