Search a number
-
+
13199105696 = 2572107151521
BaseRepresentation
bin11000100101011101…
…00101111010100000
31021001212110001010112
430102232211322200
5204012432340241
610021422350452
7645041355500
oct142256457240
937055401115
1013199105696
115663607517
12268442b428
131324704c1a
148d2d97a00
15523b811eb
hex312ba5ea0

13199105696 has 144 divisors (see below), whose sum is σ = 30771824832. Its totient is φ = 5556096000.

The previous prime is 13199105683. The next prime is 13199105741. The reversal of 13199105696 is 69650199131.

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, 25333916 + ... + 25334436.

It is an arithmetic number, because the mean of its divisors is an integer number (213693228).

Almost surely, 213199105696 is an apocalyptic number.

13199105696 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13199105696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15385912416).

13199105696 is an abundant number, since it is smaller than the sum of its proper divisors (17572719136).

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

13199105696 is a wasteful number, since it uses less digits than its factorization.

13199105696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 803 (or 788 counting only the distinct ones).

The product of its (nonzero) digits is 393660, while the sum is 50.

The spelling of 13199105696 in words is "thirteen billion, one hundred ninety-nine million, one hundred five thousand, six hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 98 107 112 151 196 214 224 302 392 428 521 604 749 784 856 1042 1057 1208 1498 1568 1712 2084 2114 2416 2996 3424 3647 4168 4228 4832 5243 5992 7294 7399 8336 8456 10486 11984 14588 14798 16157 16672 16912 20972 23968 25529 29176 29596 32314 33824 41944 51058 55747 58352 59192 64628 78671 83888 102116 111494 113099 116704 118384 129256 157342 167776 204232 222988 226198 236768 258512 314684 390229 408464 445976 452396 517024 550697 629368 780458 791693 816928 891952 904792 1101394 1258736 1560916 1583386 1783904 1809584 2202788 2517472 2731603 3121832 3166772 3619168 3854879 4405576 5463206 6243664 6333544 7709758 8417797 8811152 10926412 12487328 12667088 15419516 16835594 17622304 21852824 25334176 30839032 33671188 43705648 58924579 61678064 67342376 87411296 117849158 123356128 134684752 235698316 269369504 412472053 471396632 824944106 942793264 1649888212 1885586528 3299776424 6599552848 13199105696