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11001055936 = 261319695917
BaseRepresentation
bin10100011111011011…
…01100101011000000
31001101200102112201011
422033231230223000
5140012232242221
65015342450304
7536421301243
oct121755545300
931350375634
1011001055936
11473589a172
122170293994
131064207170
147650a725a
15445bec1e1
hex28fb6cac0

11001055936 has 56 divisors (see below), whose sum is σ = 24746844080. Its totient is φ = 4810171392.

The previous prime is 11001055921. The next prime is 11001055937. The reversal of 11001055936 is 63955010011.

11001055936 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 = 11001055898 and 11001055907.

It is not an unprimeable number, because it can be changed into a prime (11001055937) 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 7 ways as a sum of consecutive naturals, for example, 332151 + ... + 363766.

It is an arithmetic number, because the mean of its divisors is an integer number (441907930).

Almost surely, 211001055936 is an apocalyptic number.

11001055936 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

11001055936 is an abundant number, since it is smaller than the sum of its proper divisors (13745788144).

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

11001055936 is a wasteful number, since it uses less digits than its factorization.

11001055936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 695961 (or 695951 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 31.

Adding to 11001055936 its reverse (63955010011), we get a palindrome (74956065947).

The spelling of 11001055936 in words is "eleven billion, one million, fifty-five thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 13 16 19 26 32 38 52 64 76 104 152 208 247 304 416 494 608 832 988 1216 1976 3952 7904 15808 695917 1391834 2783668 5567336 9046921 11134672 13222423 18093842 22269344 26444846 36187684 44538688 52889692 72375368 105779384 144750736 171891499 211558768 289501472 343782998 423117536 579002944 687565996 846235072 1375131992 2750263984 5500527968 11001055936