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830166700210848 = 2533711135916269173
BaseRepresentation
bin1011110011000010000011111…
…1010001010011101010100000
311000212101011100201002010011000
42330300200333101103222200
51332302422400223221343
612101341152301152000
7336601364505555630
oct27460407721235240
94025334321063130
10830166700210848
112205757a1960040
1279137a5025b600
132982b4cb624760
14109003d59526c0
1565e981ad20ed3
hex2f3083f453aa0

830166700210848 has 768 divisors, whose sum is σ = 3306104402227200. Its totient is φ = 195667379343360.

The previous prime is 830166700210781. The next prime is 830166700210849. The reversal of 830166700210848 is 848012007661038.

It is a super-3 number, since 3×8301667002108483 (a number of 46 digits) contains 333 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 830166700210794 and 830166700210803.

It is not an unprimeable number, because it can be changed into a prime (830166700210849) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 42892390 + ... + 59161562.

It is an arithmetic number, because the mean of its divisors is an integer number (4304823440400).

Almost surely, 2830166700210848 is an apocalyptic number.

830166700210848 is a gapful number since it is divisible by the number (88) 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 830166700210848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1653052201113600).

830166700210848 is an abundant number, since it is smaller than the sum of its proper divisors (2475937702016352).

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

830166700210848 is a wasteful number, since it uses less digits than its factorization.

830166700210848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16269282 (or 16269268 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 830166700210848 in words is "eight hundred thirty trillion, one hundred sixty-six billion, seven hundred million, two hundred ten thousand, eight hundred forty-eight".