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334065897216 = 283416398837
BaseRepresentation
bin1001101110001111110…
…00010000111100000000
31011221021121220220120000
410313013320100330000
520433131332202331
6413245011320000
733064315163052
oct4670770207400
91157247826500
10334065897216
11119749543067
12548b1bb0000
132566b67863c
14122515758d2
158a532280e6
hex4dc7e10f00

334065897216 has 180 divisors, whose sum is σ = 1002245389992. Its totient is φ = 110671017984.

The previous prime is 334065897203. The next prime is 334065897229. The reversal of 334065897216 is 612798560433.

334065897216 is a `hidden beast` number, since 3 + 3 + 40 + 6 + 589 + 7 + 2 + 16 = 666.

It is an interprime number because it is at equal distance from previous prime (334065897203) and next prime (334065897229).

It is a super-2 number, since 2×3340658972162 (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3330550 + ... + 3429386.

It is a 1-persistent number, because it is pandigital, but 2⋅334065897216 = 668131794432 is not.

Almost surely, 2334065897216 is an apocalyptic number.

334065897216 is a gapful number since it is divisible by the number (36) 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 334065897216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (501122694996).

334065897216 is an abundant number, since it is smaller than the sum of its proper divisors (668179492776).

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

334065897216 is an equidigital number, since it uses as much as digits as its factorization.

334065897216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99028 (or 99005 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 334065897216 in words is "three hundred thirty-four billion, sixty-five million, eight hundred ninety-seven thousand, two hundred sixteen".