Search a number
-
+
11386121788460 = 2255091225191297
BaseRepresentation
bin1010010110110000100110…
…1111101001110000101100
31111022111120101220212002102
42211230021233221300230
52443022234134212320
640114413453314232
72253422466216236
oct245541157516054
944274511825072
1011386121788460
11369a910a065a1
12133a859195978
136479257554b3
142b513c4c5256
1514b2a49ca175
hexa5b09be9c2c

11386121788460 has 48 divisors (see below), whose sum is σ = 23960049916320. Its totient is φ = 4545080064000.

The previous prime is 11386121788451. The next prime is 11386121788463. The reversal of 11386121788460 is 6488712168311.

11386121788460 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 11386121788396 and 11386121788405.

It is not an unprimeable number, because it can be changed into a prime (11386121788463) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 124669532 + ... + 124760828.

It is an arithmetic number, because the mean of its divisors is an integer number (499167706590).

Almost surely, 211386121788460 is an apocalyptic number.

11386121788460 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11386121788460 is an abundant number, since it is smaller than the sum of its proper divisors (12573928127860).

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

11386121788460 is a wasteful number, since it uses less digits than its factorization.

11386121788460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 104066 (or 104064 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 56.

The spelling of 11386121788460 in words is "eleven trillion, three hundred eighty-six billion, one hundred twenty-one million, seven hundred eighty-eight thousand, four hundred sixty".

Divisors: 1 2 4 5 10 20 509 1018 2036 2545 5090 10180 12251 24502 49004 61255 91297 122510 182594 245020 365188 456485 912970 1825940 6235759 12471518 24943036 31178795 46470173 62357590 92940346 124715180 185880692 232350865 464701730 929403460 1118479547 2236959094 4473918188 5592397735 11184795470 22369590940 569306089423 1138612178846 2277224357692 2846530447115 5693060894230 11386121788460