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11445636072 = 2331336684731
BaseRepresentation
bin10101010100011011…
…01000101111101000
31002112122222120000010
422222031220233220
5141420040323242
65131423411520
7553430205243
oct125215505750
932478876003
1011445636072
114943843872
122275153ba0
131105356c30
147a815425a
1546ec6989c
hex2aa368be8

11445636072 has 32 divisors (see below), whose sum is σ = 30815174880. Its totient is φ = 3521734080.

The previous prime is 11445636071. The next prime is 11445636109. The reversal of 11445636072 is 27063654411.

It is a happy number.

11445636072 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11445636072.

It is not an unprimeable number, because it can be changed into a prime (11445636071) 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, 18342054 + ... + 18342677.

It is an arithmetic number, because the mean of its divisors is an integer number (962974215).

Almost surely, 211445636072 is an apocalyptic number.

11445636072 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11445636072 is an abundant number, since it is smaller than the sum of its proper divisors (19369538808).

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

11445636072 is a wasteful number, since it uses less digits than its factorization.

11445636072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36684753 (or 36684749 counting only the distinct ones).

The product of its (nonzero) digits is 120960, while the sum is 39.

The spelling of 11445636072 in words is "eleven billion, four hundred forty-five million, six hundred thirty-six thousand, seventy-two".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 36684731 73369462 110054193 146738924 220108386 293477848 440216772 476901503 880433544 953803006 1430704509 1907606012 2861409018 3815212024 5722818036 11445636072