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13363316640 = 2532537250813
BaseRepresentation
bin11000111001000010…
…00000011110100000
31021111022102211012100
430130201000132200
5204332002113030
610050010130400
7652104213552
oct143441003640
937438384170
1013363316640
115738275643
12270b420a00
13134c73b26b
1490ab014d2
155332bb360
hex31c8407a0

13363316640 has 144 divisors (see below), whose sum is σ = 46834999848. Its totient is φ = 3467225088.

The previous prime is 13363316627. The next prime is 13363316663. The reversal of 13363316640 is 4661336331.

13363316640 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 3 + 3 + 1 + 6 + 640 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13329164304 + 34152336 = 115452^2 + 5844^2 .

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 13363316595 and 13363316604.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 72127 + ... + 178686.

Almost surely, 213363316640 is an apocalyptic number.

13363316640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13363316640 is an abundant number, since it is smaller than the sum of its proper divisors (33471683208).

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

13363316640 is a wasteful number, since it uses less digits than its factorization.

13363316640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250871 (or 250860 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 36.

The spelling of 13363316640 in words is "thirteen billion, three hundred sixty-three million, three hundred sixteen thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 37 40 45 48 60 72 74 80 90 96 111 120 144 148 160 180 185 222 240 288 296 333 360 370 444 480 555 592 666 720 740 888 1110 1184 1332 1440 1480 1665 1776 2220 2664 2960 3330 3552 4440 5328 5920 6660 8880 10656 13320 17760 26640 53280 250813 501626 752439 1003252 1254065 1504878 2006504 2257317 2508130 3009756 3762195 4013008 4514634 5016260 6019512 7524390 8026016 9029268 9280081 10032520 11286585 12039024 15048780 18058536 18560162 20065040 22573170 24078048 27840243 30097560 36117072 37120324 40130080 45146340 46400405 55680486 60195120 72234144 74240648 83520729 90292680 92800810 111360972 120390240 139201215 148481296 167041458 180585360 185601620 222721944 278402430 296962592 334082916 361170720 371203240 417603645 445443888 556804860 668165832 742406480 835207290 890887776 1113609720 1336331664 1484812960 1670414580 2227219440 2672663328 3340829160 4454438880 6681658320 13363316640