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11033376672 = 253114931007
BaseRepresentation
bin10100100011010001…
…11111011110100000
31001110221020121102110
422101220333132200
5140044021023142
65022455315320
7540263103633
oct122150773640
931427217373
1011033376672
11475206521a
12217b07bb40
13106ab12566
147694bbc1a
1544898399c
hex291a3f7a0

11033376672 has 24 divisors (see below), whose sum is σ = 28962614016. Its totient is φ = 3677792192.

The previous prime is 11033376671. The next prime is 11033376677. The reversal of 11033376672 is 27667333011.

It is a happy number.

11033376672 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 11033376672.

It is not an unprimeable number, because it can be changed into a prime (11033376671) 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 3 ways as a sum of consecutive naturals, for example, 57465408 + ... + 57465599.

It is an arithmetic number, because the mean of its divisors is an integer number (1206775584).

Almost surely, 211033376672 is an apocalyptic number.

11033376672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11033376672 is an abundant number, since it is smaller than the sum of its proper divisors (17929237344).

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

11033376672 is a wasteful number, since it uses less digits than its factorization.

11033376672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 114931020 (or 114931012 counting only the distinct ones).

The product of its (nonzero) digits is 95256, while the sum is 39.

The spelling of 11033376672 in words is "eleven billion, thirty-three million, three hundred seventy-six thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 114931007 229862014 344793021 459724028 689586042 919448056 1379172084 1838896112 2758344168 3677792224 5516688336 11033376672