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11932293672 = 2332133241313
BaseRepresentation
bin10110001110011100…
…00101101000101000
31010210120201022201200
423013032011220220
5143414131344142
65252010244200
7601456552125
oct130716055050
933716638650
1011932293672
115073517932
122390126660
13118211a000
14812a3574c
1549c84964c
hex2c7385a28

11932293672 has 192 divisors, whose sum is σ = 35266030800. Its totient is φ = 3644559360.

The previous prime is 11932293649. The next prime is 11932293679. The reversal of 11932293672 is 27639223911.

It can be written as a sum of positive squares in 8 ways, for example, as 1929493476 + 10002800196 = 43926^2 + 100014^2 .

It is not an unprimeable number, because it can be changed into a prime (11932293679) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 38122188 + ... + 38122500.

Almost surely, 211932293672 is an apocalyptic number.

11932293672 is a gapful number since it is divisible by the number (12) 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 11932293672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17633015400).

11932293672 is an abundant number, since it is smaller than the sum of its proper divisors (23333737128).

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

11932293672 is a wasteful number, since it uses less digits than its factorization.

11932293672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 605 (or 572 counting only the distinct ones).

The product of its digits is 244944, while the sum is 45.

The spelling of 11932293672 in words is "eleven billion, nine hundred thirty-two million, two hundred ninety-three thousand, six hundred seventy-two".