Search a number
-
+
11632650048 = 263220195573
BaseRepresentation
bin10101101010101110…
…00010011101000000
31010000200212211221200
422311113002131000
5142310424300143
65202144021200
7561160615425
oct126527023500
933020784850
1011632650048
114a2a367178
122307901800
1311350154a6
147c4d15d4c
154813ab1d3
hex2b55c2740

11632650048 has 42 divisors (see below), whose sum is σ = 33342892674. Its totient is φ = 3877549824.

The previous prime is 11632650023. The next prime is 11632650049. The reversal of 11632650048 is 84005623611.

It is a happy number.

11632650048 is a `hidden beast` number, since 11 + 632 + 6 + 5 + 0 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 10939486464 + 693163584 = 104592^2 + 26328^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11632649994 and 11632650021.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11632650049) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 10097211 + ... + 10098362.

It is an arithmetic number, because the mean of its divisors is an integer number (793878397).

Almost surely, 211632650048 is an apocalyptic number.

11632650048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11632650048 is an abundant number, since it is smaller than the sum of its proper divisors (21710242626).

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

11632650048 is a wasteful number, since it uses less digits than its factorization.

11632650048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20195591 (or 20195578 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The spelling of 11632650048 in words is "eleven billion, six hundred thirty-two million, six hundred fifty thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 144 192 288 576 20195573 40391146 60586719 80782292 121173438 161564584 181760157 242346876 323129168 363520314 484693752 646258336 727040628 969387504 1292516672 1454081256 1938775008 2908162512 3877550016 5816325024 11632650048