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11021942013936 = 2437967199317021
BaseRepresentation
bin1010000001100011111011…
…1100000011111111110000
31110000200120002102110212020
42200120332330003333300
52421040414123421221
635235224341031440
72215210666213410
oct240307674037760
943020502373766
1011021942013936
11356a419a1a827
1212a01620b5580
1361c498252959
142a1671740640
15141a8cb81ac6
hexa063ef03ff0

11021942013936 has 160 divisors (see below), whose sum is σ = 32592882398208. Its totient is φ = 3144106506240.

The previous prime is 11021942013919. The next prime is 11021942014007. The reversal of 11021942013936 is 63931024912011.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 647541106 + ... + 647558126.

Almost surely, 211021942013936 is an apocalyptic number.

11021942013936 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 11021942013936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16296441199104).

11021942013936 is an abundant number, since it is smaller than the sum of its proper divisors (21570940384272).

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

11021942013936 is a wasteful number, since it uses less digits than its factorization.

11021942013936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19999 (or 19993 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 42.

Adding to 11021942013936 its reverse (63931024912011), we get a palindrome (74952966925947).

The spelling of 11021942013936 in words is "eleven trillion, twenty-one billion, nine hundred forty-two million, thirteen thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 967 1934 1993 2901 3868 3986 5802 5979 6769 7736 7972 11604 11958 13538 13951 15472 15944 17021 20307 23208 23916 27076 27902 31888 34042 40614 41853 46416 47832 51063 54152 55804 68084 81228 83706 95664 102126 108304 111608 119147 136168 162456 167412 204252 223216 238294 272336 324912 334824 357441 408504 476588 669648 714882 817008 953176 1429764 1906352 1927231 2859528 3854462 5719056 5781693 7708924 11563386 13490617 15417848 16459307 23126772 26981234 30835696 32918614 33922853 40471851 46253544 49377921 53962468 65837228 67845706 80943702 92507088 98755842 101768559 107924936 115215149 131674456 135691412 161887404 197511684 203537118 215849872 230430298 237459971 263348912 271382824 323774808 345645447 395023368 407074236 460860596 474919942 542765648 647549616 691290894 712379913 790046736 814148472 921721192 949839884 1382581788 1424759826 1628296944 1843442384 1899679768 2765163576 2849519652 3799359536 5530327152 5699039304 11398078608 32803398851 65606797702 98410196553 131213595404 196820393106 229623791957 262427190808 393640786212 459247583914 524854381616 688871375871 787281572424 918495167828 1377742751742 1574563144848 1836990335656 2755485503484 3673980671312 5510971006968 11021942013936