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10973346048 = 28347174447
BaseRepresentation
bin10100011100000111…
…11111100100000000
31001022202021201220000
422032003333210000
5134433134033143
65012512520000
7535633621350
oct121603774400
931282251800
1010973346048
114721193335
122162b50000
13105b554692
14761532b60
15443576bd3
hex28e0ff900

10973346048 has 360 divisors, whose sum is σ = 39603497472. Its totient is φ = 2950152192.

The previous prime is 10973346029. The next prime is 10973346061. The reversal of 10973346048 is 84064337901.

10973346048 is a `hidden beast` number, since 1 + 0 + 9 + 7 + 3 + 34 + 604 + 8 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 10973345994 and 10973346012.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2465361 + ... + 2469807.

Almost surely, 210973346048 is an apocalyptic number.

10973346048 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 10973346048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19801748736).

10973346048 is an abundant number, since it is smaller than the sum of its proper divisors (28630151424).

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

10973346048 is an equidigital number, since it uses as much as digits as its factorization.

10973346048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4499 (or 4476 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 10973346048 in words is "ten billion, nine hundred seventy-three million, three hundred forty-six thousand, forty-eight".