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11972302848 = 21131211
BaseRepresentation
bin10110010011001101…
…01101100000000000
31010220101000000000000
423021212231200000
5144004402142343
65300000000000
7602453616012
oct131146554000
933811000000
1011972302848
115094064370
1223a1600000
13118a4b7a8c
1481808c1b2
154a10eded3
hex2c99ad800

11972302848 has 312 divisors, whose sum is σ = 39172491540. Its totient is φ = 3627970560.

The previous prime is 11972302843. The next prime is 11972302883. The reversal of 11972302848 is 84820327911.

It is a happy number.

It is a super-2 number, since 2×119723028482 (a number of 21 digits) contains 22 as substring.

It is a nialpdrome in base 6.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11972302843) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 1088391163 + ... + 1088391173.

Almost surely, 211972302848 is an apocalyptic number.

11972302848 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11972302848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19586245770).

11972302848 is an abundant number, since it is smaller than the sum of its proper divisors (27200188692).

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

11972302848 is an frugal number, since it uses more digits than its factorization.

11972302848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69 (or 16 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 11972302848 in words is "eleven billion, nine hundred seventy-two million, three hundred two thousand, eight hundred forty-eight".