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10466413056 = 29341122943
BaseRepresentation
bin10011011111101100…
…01100101000000000
31000000102101212120000
421233312030220000
5132413400204211
64450323320000
7520240020531
oct115766145000
930012355500
1010466413056
114491021050
122041220000
13caa512a28
14714094688
15413cde656
hex26fd8ca00

10466413056 has 200 divisors, whose sum is σ = 34080925824. Its totient is φ = 3171502080.

The previous prime is 10466412991. The next prime is 10466413063. The reversal of 10466413056 is 65031466401.

It is a happy number.

10466413056 is a `hidden beast` number, since 1 + 0 + 4 + 6 + 641 + 3 + 0 + 5 + 6 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 10466413056.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 444721 + ... + 467663.

Almost surely, 210466413056 is an apocalyptic number.

10466413056 is a gapful number since it is divisible by the number (16) 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 10466413056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17040462912).

10466413056 is an abundant number, since it is smaller than the sum of its proper divisors (23614512768).

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

10466413056 is an equidigital number, since it uses as much as digits as its factorization.

10466413056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22984 (or 22959 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

Adding to 10466413056 its reverse (65031466401), we get a palindrome (75497879457).

The spelling of 10466413056 in words is "ten billion, four hundred sixty-six million, four hundred thirteen thousand, fifty-six".