Search a number
-
+
263313630636 = 223721916613547
BaseRepresentation
bin1111010100111010110…
…1110010010110101100
3221011122210001100221020
43311032231302112230
513303231242140021
6320544204534140
725011104634300
oct3651655622654
9834583040836
10263313630636
11a1741752a81
1243047251350
131baa4421944
14ca5ca9bd00
156cb1a6d7c6
hex3d4eb725ac

263313630636 has 144 divisors (see below), whose sum is σ = 719740127232. Its totient is φ = 74704291200.

The previous prime is 263313630571. The next prime is 263313630703. The reversal of 263313630636 is 636036313362.

263313630636 is digitally balanced in base 3, 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 (42).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 74233815 + ... + 74237361.

It is an arithmetic number, because the mean of its divisors is an integer number (4998195328).

Almost surely, 2263313630636 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 263313630636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359870063616).

263313630636 is an abundant number, since it is smaller than the sum of its proper divisors (456426496596).

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

263313630636 is a wasteful number, since it uses less digits than its factorization.

263313630636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4420 (or 4411 counting only the distinct ones).

The product of its (nonzero) digits is 629856, while the sum is 42.

Adding to 263313630636 its reverse (636036313362), we get a palindrome (899349943998).

The spelling of 263313630636 in words is "two hundred sixty-three billion, three hundred thirteen million, six hundred thirty thousand, six hundred thirty-six".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 84 98 147 191 196 294 382 573 588 661 764 1146 1322 1337 1983 2292 2644 2674 3547 3966 4011 4627 5348 7094 7932 8022 9254 9359 10641 13881 14188 16044 18508 18718 21282 24829 27762 28077 32389 37436 42564 49658 55524 56154 64778 74487 97167 99316 112308 126251 129556 148974 173803 194334 252502 297948 347606 378753 388668 505004 521409 677477 695212 757506 883757 1042818 1354954 1515012 1767514 2032431 2085636 2344567 2651271 2709908 3535028 4064862 4689134 4742339 5302542 6186299 7033701 8129724 9378268 9484678 10605084 12372598 14067402 14227017 16411969 18558897 18969356 24745196 28134804 28454034 32823938 33196373 37117794 49235907 56908068 65647876 66392746 74235588 98471814 99589119 114883783 132785492 196943628 199178238 229767566 344651349 398356476 447812297 459535132 689302698 895624594 1343436891 1378605396 1791249188 2686873782 3134686079 5373747564 6269372158 9404058237 12538744316 18808116474 21942802553 37616232948 43885605106 65828407659 87771210212 131656815318 263313630636