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830058924912 = 243731412816917
BaseRepresentation
bin11000001010000110101…
…11100000101101110000
32221100112020022100010220
430011003113200231300
5102044430041044122
61433153535253040
7113653430306430
oct14050327405560
92840466270126
10830058924912
112a00316949a8
12114a5507a180
1360374603289
142c26454c2c0
15168d21aa25c
hexc1435e0b70

830058924912 has 320 divisors, whose sum is σ = 2601001525248. Its totient is φ = 223082496000.

The previous prime is 830058924907. The next prime is 830058924913. The reversal of 830058924912 is 219429850038.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (830058924913) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 119999278 + ... + 120006194.

Almost surely, 2830058924912 is an apocalyptic number.

830058924912 is a gapful number since it is divisible by the number (82) 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 830058924912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1300500762624).

830058924912 is an abundant number, since it is smaller than the sum of its proper divisors (1770942600336).

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

830058924912 is a wasteful number, since it uses less digits than its factorization.

830058924912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7288 (or 7282 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 51.

The spelling of 830058924912 in words is "eight hundred thirty billion, fifty-eight million, nine hundred twenty-four thousand, nine hundred twelve".