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13319208168 = 2337277433661
BaseRepresentation
bin11000110011110001…
…01111110011101000
31021101020102212202020
430121320233303220
5204234204130133
610041352504440
7651030254460
oct143170576350
937336385666
1013319208168
115715389262
1226b86ab120
131343566686
14904cdcba0
1552e4a70b3
hex319e2fce8

13319208168 has 128 divisors (see below), whose sum is σ = 38338379520. Its totient is φ = 3777269760.

The previous prime is 13319208143. The next prime is 13319208173. The reversal of 13319208168 is 86180291331.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20149758 + ... + 20150418.

It is an arithmetic number, because the mean of its divisors is an integer number (299518590).

Almost surely, 213319208168 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 13319208168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19169189760).

13319208168 is an abundant number, since it is smaller than the sum of its proper divisors (25019171352).

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

13319208168 is a wasteful number, since it uses less digits than its factorization.

13319208168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1387 (or 1383 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 42.

Adding to 13319208168 its reverse (86180291331), we get a palindrome (99499499499).

The spelling of 13319208168 in words is "thirteen billion, three hundred nineteen million, two hundred eight thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 84 168 277 433 554 661 831 866 1108 1299 1322 1662 1732 1939 1983 2216 2598 2644 3031 3324 3464 3878 3966 4627 5196 5288 5817 6062 6648 7756 7932 9093 9254 10392 11634 12124 13881 15512 15864 18186 18508 23268 24248 27762 36372 37016 46536 55524 72744 111048 119941 183097 239882 286213 359823 366194 479764 549291 572426 719646 732388 839587 858639 959528 1098582 1144852 1281679 1439292 1464776 1679174 1717278 2003491 2197164 2289704 2518761 2563358 2878584 3358348 3434556 3845037 4006982 4394328 5037522 5126716 6010473 6716696 6869112 7690074 8013964 10075044 10253432 12020946 15380148 16027928 20150088 24041892 30760296 48083784 79281001 158562002 237843003 317124004 475686006 554967007 634248008 951372012 1109934014 1664901021 1902744024 2219868028 3329802042 4439736056 6659604084 13319208168