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830447718380430 = 23561101317111712689
BaseRepresentation
bin1011110011010010011010110…
…1010000100011001110001110
311000220101000201100100020201220
42330310212231100203032032
51332322023411401133210
612102114225355544210
7336630603423601653
oct27464465520431616
94026330640306656
10830447718380430
11220673999331187
12791823b875b066
132984bb649a7b37
141090dc53ac9c2a
156601cb6d33c70
hex2f349ad42338e

830447718380430 has 256 divisors, whose sum is σ = 2054257604455680. Its totient is φ = 214775967744000.

The previous prime is 830447718380389. The next prime is 830447718380453. The reversal of 830447718380430 is 34083817744038.

830447718380430 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 65446263526 + ... + 65446276214.

It is an arithmetic number, because the mean of its divisors is an integer number (8024443767405).

Almost surely, 2830447718380430 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830447718380430, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1027128802227840).

830447718380430 is an abundant number, since it is smaller than the sum of its proper divisors (1223809886075250).

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

830447718380430 is a wasteful number, since it uses less digits than its factorization.

830447718380430 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14295.

The product of its (nonzero) digits is 43352064, while the sum is 60.

The spelling of 830447718380430 in words is "eight hundred thirty trillion, four hundred forty-seven billion, seven hundred eighteen million, three hundred eighty thousand, four hundred thirty".