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4161466368 = 2123537113
BaseRepresentation
bin1111100000001010…
…1111000000000000
3101202000112101200000
43320002233000000
532010313410433
61524534400000
7205060611003
oct37002570000
911660471600
104161466368
111846048304
12981800000
13514206747
142b698553a
1519551c113
hexf80af000

4161466368 has 312 divisors, whose sum is σ = 12915961968. Its totient is φ = 1337720832.

The previous prime is 4161466313. The next prime is 4161466391. The reversal of 4161466368 is 8636641614.

4161466368 is a `hidden beast` number, since 4 + 1 + 6 + 1 + 4 + 6 + 636 + 8 = 666.

It is a super-2 number, since 2×41614663682 = 34635604663990222848, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 36827080 + ... + 36827192.

It is an arithmetic number, because the mean of its divisors is an integer number (41397314).

Almost surely, 24161466368 is an apocalyptic number.

4161466368 is a gapful number since it is divisible by the number (48) 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 4161466368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6457980984).

4161466368 is an abundant number, since it is smaller than the sum of its proper divisors (8754495600).

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

4161466368 is an equidigital number, since it uses as much as digits as its factorization.

4161466368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 189 (or 155 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 4161466368 is about 64509.4285201784. The cubic root of 4161466368 is about 1608.4792512233.

The spelling of 4161466368 in words is "four billion, one hundred sixty-one million, four hundred sixty-six thousand, three hundred sixty-eight".