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13366241928 = 23321357724749
BaseRepresentation
bin11000111001011000…
…01010101010001000
31021111111221102221100
430130230022222020
5204333224220203
610050152541400
7652141116234
oct143454125210
937444842840
1013366241928
115739993436
1227103b1860
1313502238c0
1490b2635c4
15533697ea3
hex31cb0aa88

13366241928 has 96 divisors (see below), whose sum is σ = 39054015000. Its totient is φ = 4105396224.

The previous prime is 13366241893. The next prime is 13366241947. The reversal of 13366241928 is 82914266331.

13366241928 is a `hidden beast` number, since 1 + 3 + 3 + 6 + 624 + 19 + 2 + 8 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 13253074884 + 113167044 = 115122^2 + 10638^2 .

It is a nude number because it is divisible by every one of its digits.

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, 527698 + ... + 552446.

Almost surely, 213366241928 is an apocalyptic number.

13366241928 is a gapful number since it is divisible by the number (18) 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 13366241928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19527007500).

13366241928 is an abundant number, since it is smaller than the sum of its proper divisors (25687773072).

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

13366241928 is a wasteful number, since it uses less digits than its factorization.

13366241928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25351 (or 25344 counting only the distinct ones).

The product of its digits is 373248, while the sum is 45.

The spelling of 13366241928 in words is "thirteen billion, three hundred sixty-six million, two hundred forty-one thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 577 936 1154 1731 2308 3462 4616 5193 6924 7501 10386 13848 15002 20772 22503 24749 30004 41544 45006 49498 60008 67509 74247 90012 98996 135018 148494 180024 197992 222741 270036 296988 321737 445482 540072 593976 643474 890964 965211 1286948 1781928 1930422 2573896 2895633 3860844 5791266 7721688 11582532 14280173 23165064 28560346 42840519 57120692 85681038 114241384 128521557 171362076 185642249 257043114 342724152 371284498 514086228 556926747 742568996 1028172456 1113853494 1485137992 1670780241 2227706988 3341560482 4455413976 6683120964 13366241928