Search a number
-
+
11972292048 = 243327713639
BaseRepresentation
bin10110010011001101…
…01010110111010000
31010220100222110012000
423021212222313100
5144004401321143
65255555434000
7602453542353
oct131146526720
933810873160
1011972292048
115094057242
1223a15b5900
13118a4b2ba2
1481808829a
154a10eabd3
hex2c99aadd0

11972292048 has 40 divisors (see below), whose sum is σ = 34364913600. Its totient is φ = 3990763872.

The previous prime is 11972292037. The next prime is 11972292083. The reversal of 11972292048 is 84029227911.

11972292048 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 = 11972291994 and 11972292012.

It is a congruent number.

It is an unprimeable number.

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, 13856388 + ... + 13857251.

It is an arithmetic number, because the mean of its divisors is an integer number (859122840).

Almost surely, 211972292048 is an apocalyptic number.

11972292048 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

11972292048 is an abundant number, since it is smaller than the sum of its proper divisors (22392621552).

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

11972292048 is a wasteful number, since it uses less digits than its factorization.

11972292048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27713656 (or 27713644 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 11972292048 in words is "eleven billion, nine hundred seventy-two million, two hundred ninety-two thousand, forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 144 216 432 27713639 55427278 83140917 110854556 166281834 221709112 249422751 332563668 443418224 498845502 665127336 748268253 997691004 1330254672 1496536506 1995382008 2993073012 3990764016 5986146024 11972292048