Search a number
-
+
13347550608 = 2437219728807
BaseRepresentation
bin11000110111001001…
…10111010110010000
31021110012202211021020
430123210313112100
5204313433104413
610044244155440
7651523210500
oct143344672620
937405684236
1013347550608
11572a387367
122706098b80
1313493ab052
14908999a00
15531c04c23
hex31b937590

13347550608 has 120 divisors (see below), whose sum is σ = 40315758912. Its totient is φ = 3794095872.

The previous prime is 13347550577. The next prime is 13347550613. The reversal of 13347550608 is 80605574331.

13347550608 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 (42).

It is a self number, because there is not a number n which added to its sum of digits gives 13347550608.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 448941 + ... + 477747.

Almost surely, 213347550608 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 13347550608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20157879456).

13347550608 is an abundant number, since it is smaller than the sum of its proper divisors (26968208304).

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

13347550608 is a wasteful number, since it uses less digits than its factorization.

13347550608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29029 (or 29016 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 42.

The spelling of 13347550608 in words is "thirteen billion, three hundred forty-seven million, five hundred fifty thousand, six hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 49 56 84 98 112 147 168 196 197 294 336 392 394 588 591 784 788 1176 1182 1379 1576 2352 2364 2758 3152 4137 4728 5516 8274 9456 9653 11032 16548 19306 22064 28807 28959 33096 38612 57614 57918 66192 77224 86421 115228 115836 154448 172842 201649 230456 231672 345684 403298 460912 463344 604947 691368 806596 1209894 1382736 1411543 1613192 2419788 2823086 3226384 4234629 4839576 5646172 5674979 8469258 9679152 11292344 11349958 16938516 17024937 22584688 22699916 33877032 34049874 39724853 45399832 67754064 68099748 79449706 90799664 119174559 136199496 158899412 238349118 272398992 278073971 317798824 476698236 556147942 635597648 834221913 953396472 1112295884 1668443826 1906792944 2224591768 3336887652 4449183536 6673775304 13347550608