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13042062656 = 26725697309
BaseRepresentation
bin11000010010101111…
…00001010101000000
31020122220221102120122
430021113201111000
5203202232001111
65554052355412
7641123463200
oct141127412500
936586842518
1013042062656
1155929a4787
12263b915b68
1312cb00b34c
148ba198400
15514eaecdb
hex3095e1540

13042062656 has 84 divisors (see below), whose sum is σ = 30162741300. Its totient is φ = 5578868736.

The previous prime is 13042062599. The next prime is 13042062667. The reversal of 13042062656 is 65626024031.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 3829134400 + 9212928256 = 61880^2 + 95984^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1780730 + ... + 1788038.

Almost surely, 213042062656 is an apocalyptic number.

13042062656 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 13042062656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15081370650).

13042062656 is an abundant number, since it is smaller than the sum of its proper divisors (17120678644).

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

13042062656 is an equidigital number, since it uses as much as digits as its factorization.

13042062656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7904 (or 7887 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 35.

Adding to 13042062656 its reverse (65626024031), we get a palindrome (78668086687).

The spelling of 13042062656 in words is "thirteen billion, forty-two million, sixty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 196 224 392 448 569 784 1138 1568 2276 3136 3983 4552 7309 7966 9104 14618 15932 18208 27881 29236 31864 36416 51163 55762 58472 63728 102326 111524 116944 127456 204652 223048 233888 254912 358141 409304 446096 467776 716282 818608 892192 1432564 1637216 1784384 2865128 3274432 4158821 5730256 8317642 11460512 16635284 22921024 29111747 33270568 58223494 66541136 116446988 133082272 203782229 232893976 266164544 407564458 465787952 815128916 931575904 1630257832 1863151808 3260515664 6521031328 13042062656