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13047008502 = 231119311013323
BaseRepresentation
bin11000010011010100…
…11000110011110110
31020200021020201000010
430021222120303312
5203210013233002
65554350401050
7641213512443
oct141152306366
936607221003
1013047008502
115595772660
122641500186
1312cc050598
148baac49ca
1551563a46c
hex309a98cf6

13047008502 has 128 divisors (see below), whose sum is σ = 31246663680. Its totient is φ = 3587760000.

The previous prime is 13047008473. The next prime is 13047008509. The reversal of 13047008502 is 20580074031.

13047008502 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 13047008502.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13047008509) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3924613 + ... + 3927935.

It is an arithmetic number, because the mean of its divisors is an integer number (244114560).

Almost surely, 213047008502 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13047008502, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15623331840).

13047008502 is an abundant number, since it is smaller than the sum of its proper divisors (18199655178).

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

13047008502 is a wasteful number, since it uses less digits than its factorization.

13047008502 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3490.

The product of its (nonzero) digits is 6720, while the sum is 30.

The spelling of 13047008502 in words is "thirteen billion, forty-seven million, eight thousand, five hundred two".

Divisors: 1 2 3 6 11 19 22 31 33 38 57 62 66 93 101 114 186 202 209 303 341 418 589 606 627 682 1023 1111 1178 1254 1767 1919 2046 2222 3131 3323 3333 3534 3838 5757 6262 6479 6646 6666 9393 9969 11514 12958 18786 19437 19938 21109 34441 36553 38874 42218 59489 63137 63327 68882 73106 103013 103323 109659 118978 126274 126654 178467 189411 206026 206646 219318 309039 335623 356934 378822 618078 654379 671246 694507 1006869 1133143 1308758 1389014 1957247 1963137 2013738 2083521 2266286 3399429 3691853 3914494 3926274 4167042 5871741 6376837 6798858 7383706 10404313 11075559 11743482 12753674 19130511 20808626 21529717 22151118 31212939 38261022 43059434 62425878 64589151 70145207 114447443 129178302 140290414 197681947 210435621 228894886 343342329 395363894 420871242 593045841 686684658 1186091682 2174501417 4349002834 6523504251 13047008502