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830285710740 = 223354771523881
BaseRepresentation
bin11000001010100001110…
…00101000010110010100
32221101010001001020211000
430011100320220112110
5102100411120220430
61433232240143300
7113662153044543
oct14052070502624
92841101036730
10830285710740
112a0138702502
12114ab9007b30
13603ac5a8585
142c28670415a
15168e7055e60
hexc150e28594

830285710740 has 384 divisors, whose sum is σ = 2683384381440. Its totient is φ = 212996044800.

The previous prime is 830285710733. The next prime is 830285710753. The reversal of 830285710740 is 47017582038.

830285710740 is a `hidden beast` number, since 8 + 3 + 0 + 2 + 8 + 571 + 0 + 74 + 0 = 666.

It is a super-2 number, since 2×8302857107402 (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 942435100 + ... + 942435980.

It is an arithmetic number, because the mean of its divisors is an integer number (6987980160).

Almost surely, 2830285710740 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 830285710740, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1341692190720).

830285710740 is an abundant number, since it is smaller than the sum of its proper divisors (1853098670700).

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

830285710740 is a wasteful number, since it uses less digits than its factorization.

830285710740 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1540 (or 1532 counting only the distinct ones).

The product of its (nonzero) digits is 376320, while the sum is 45.

The spelling of 830285710740 in words is "eight hundred thirty billion, two hundred eighty-five million, seven hundred ten thousand, seven hundred forty".