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13006191680 = 26540644349
BaseRepresentation
bin11000001110011101…
…01011110001000000
31020120102102222211222
430013032223301000
5203114041113210
65550331454212
7640206543116
oct140716536100
936512388758
1013006191680
115574724349
12262b8b7368
1312c375c011
148b54dbab6
15511c76655
hex3073abc40

13006191680 has 28 divisors (see below), whose sum is σ = 30970994700. Its totient is φ = 5202476544.

The previous prime is 13006191661. The next prime is 13006191689. The reversal of 13006191680 is 8619160031.

It can be written as a sum of positive squares in 2 ways, for example, as 6900957184 + 6105234496 = 83072^2 + 78136^2 .

It is a super-2 number, since 2×130061916802 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 13006191680.

It is not an unprimeable number, because it can be changed into a prime (13006191689) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 20321855 + ... + 20322494.

Almost surely, 213006191680 is an apocalyptic number.

13006191680 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13006191680 is an abundant number, since it is smaller than the sum of its proper divisors (17964803020).

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

13006191680 is an equidigital number, since it uses as much as digits as its factorization.

13006191680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40644366 (or 40644356 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 35.

The spelling of 13006191680 in words is "thirteen billion, six million, one hundred ninety-one thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 160 320 40644349 81288698 162577396 203221745 325154792 406443490 650309584 812886980 1300619168 1625773960 2601238336 3251547920 6503095840 13006191680