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13013428392 = 23321632334759
BaseRepresentation
bin11000001111010100…
…10010100010101000
31020120221001122202100
430013222102202220
5203122414202032
65551150533400
7640325213316
oct140752224250
936527048670
1013013428392
1155788173a8
122632207260
1312c50c3bb3
148b64630b6
1551270597c
hex307a928a8

13013428392 has 96 divisors (see below), whose sum is σ = 35620603200. Its totient is φ = 4291792128.

The previous prime is 13013428391. The next prime is 13013428409. The reversal of 13013428392 is 29382431031.

13013428392 is a `hidden beast` number, since 1 + 301 + 342 + 8 + 3 + 9 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (13013428391) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2732109 + ... + 2736867.

It is an arithmetic number, because the mean of its divisors is an integer number (371047950).

Almost surely, 213013428392 is an apocalyptic number.

13013428392 is a gapful number since it is divisible by the number (12) 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 13013428392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17810301600).

13013428392 is an abundant number, since it is smaller than the sum of its proper divisors (22607174808).

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

13013428392 is a wasteful number, since it uses less digits than its factorization.

13013428392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5167 (or 5160 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 13013428392 in words is "thirteen billion, thirteen million, four hundred twenty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 163 233 326 466 489 652 699 932 978 1304 1398 1467 1864 1956 2097 2796 2934 3912 4194 4759 5592 5868 8388 9518 11736 14277 16776 19036 28554 37979 38072 42831 57108 75958 85662 113937 114216 151916 171324 227874 303832 341811 342648 455748 683622 775717 911496 1108847 1367244 1551434 2217694 2327151 2734488 3102868 3326541 4435388 4654302 6205736 6653082 6981453 8870776 9308604 9979623 13306164 13962906 18617208 19959246 26612328 27925812 39918492 55851624 79836984 180742061 361484122 542226183 722968244 1084452366 1445936488 1626678549 2168904732 3253357098 4337809464 6506714196 13013428392