Search a number
-
+
3369781518688 = 251376112018863
BaseRepresentation
bin110001000010010110101…
…000010110000101100000
3102221010222212102202001101
4301002112220112011200
5420202303032044223
611100020052444144
7465313220206354
oct61022650260540
912833885382041
103369781518688
11108a1308a9882
12465105019654
131b59cc74aa70
14b9153a1b464
155c9c82584ad
hex31096a16160

3369781518688 has 96 divisors (see below), whose sum is σ = 7160737796352. Its totient is φ = 1551771648000.

The previous prime is 3369781518679. The next prime is 3369781518707. The reversal of 3369781518688 is 8868151879633.

It is a super-2 number, since 2×33697815186882 (a number of 26 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 3369781518688.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 380203345 + ... + 380212207.

It is an arithmetic number, because the mean of its divisors is an integer number (74591018712).

Almost surely, 23369781518688 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 3369781518688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3580368898176).

3369781518688 is an abundant number, since it is smaller than the sum of its proper divisors (3790956277664).

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

3369781518688 is a wasteful number, since it uses less digits than its factorization.

3369781518688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10848 (or 10840 counting only the distinct ones).

The product of its digits is 418037760, while the sum is 73.

The spelling of 3369781518688 in words is "three trillion, three hundred sixty-nine billion, seven hundred eighty-one million, five hundred eighteen thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 13 16 26 32 52 104 208 416 761 1201 1522 2402 3044 4804 6088 8863 9608 9893 12176 15613 17726 19216 19786 24352 31226 35452 38432 39572 62452 70904 79144 115219 124904 141808 158288 230438 249808 283616 316576 460876 499616 913961 921752 1827922 1843504 3655844 3687008 6744743 7311688 10644463 11881493 13489486 14623376 21288926 23762986 26978972 29246752 42577852 47525972 53957944 85155704 87681659 95051944 107915888 138378019 170311408 175363318 190103888 215831776 276756038 340622816 350726636 380207776 553512076 701453272 1107024152 1402906544 2214048304 2805813088 4428096608 8100436343 16200872686 32401745372 64803490744 105305672459 129606981488 210611344918 259213962976 421222689836 842445379672 1684890759344 3369781518688