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65504262112240 = 2457234673481939
BaseRepresentation
bin11101110010011011001100…
…10001100100001111110000
322120221010221122122002110211
432321031212101210033300
532041210212100042430
6351152124222033504
716540345452063400
oct1671154621441760
9276833848562424
1065504262112240
11199652242a7076
12741b1b8a18894
132a72043aa5713
1412265cd3a6800
15788db21a572a
hex3b93664643f0

65504262112240 has 120 divisors (see below), whose sum is σ = 177167769711120. Its totient is φ = 22457909827584.

The previous prime is 65504262112213. The next prime is 65504262112253. The reversal of 65504262112240 is 4221126240556.

65504262112240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 65504262112193 and 65504262112202.

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 23 ways as a sum of consecutive naturals, for example, 135677191 + ... + 136159129.

It is an arithmetic number, because the mean of its divisors is an integer number (1476398080926).

Almost surely, 265504262112240 is an apocalyptic number.

It is an amenable number.

65504262112240 is an abundant number, since it is smaller than the sum of its proper divisors (111663507598880).

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

65504262112240 is a wasteful number, since it uses less digits than its factorization.

65504262112240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 516639 (or 516626 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 40.

Adding to 65504262112240 its reverse (4221126240556), we get a palindrome (69725388352796).

The spelling of 65504262112240 in words is "sixty-five trillion, five hundred four billion, two hundred sixty-two million, one hundred twelve thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 35 40 49 56 70 80 98 112 140 196 245 280 392 490 560 784 980 1960 3920 34673 69346 138692 173365 242711 277384 346730 481939 485422 554768 693460 963878 970844 1213555 1386920 1698977 1927756 1941688 2409695 2427110 2773840 3373573 3397954 3855512 3883376 4819390 4854220 6747146 6795908 7711024 8494885 9638780 9708440 13494292 13591816 16867865 16989770 19277560 19416880 23615011 26988584 27183632 33735730 33979540 38555120 47230022 53977168 67471460 67959080 94460044 118075055 134942920 135918160 188920088 236150110 269885840 377840176 472300220 944600440 1889200880 16710270947 33420541894 66841083788 83551354735 116971896629 133682167576 167102709470 233943793258 267364335152 334205418940 467887586516 584859483145 668410837880 818803276403 935775173032 1169718966290 1336821675760 1637606552806 1871550346064 2339437932580 3275213105612 4094016382015 4678875865160 6550426211224 8188032764030 9357751730320 13100852422448 16376065528060 32752131056120 65504262112240