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830034670080 = 29357111403603
BaseRepresentation
bin11000001010000011110…
…10111111001000000000
32221100110112200001202210
430011001322333020000
5102044402333420310
61433151311342120
7113653014166560
oct14050172771000
92840415601683
10830034670080
112a0019a28990
12114a48b21940
136036c5902c5
142c261236da0
15168ceeb8820
hexc141ebf200

830034670080 has 320 divisors, whose sum is σ = 3308283399168. Its totient is φ = 172474613760.

The previous prime is 830034670043. The next prime is 830034670097. The reversal of 830034670080 is 80076430038.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 110442 + ... + 1293161.

Almost surely, 2830034670080 is an apocalyptic number.

830034670080 is a gapful number since it is divisible by the number (80) 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 830034670080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1654141699584).

830034670080 is an abundant number, since it is smaller than the sum of its proper divisors (2478248729088).

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

830034670080 is a wasteful number, since it uses less digits than its factorization.

830034670080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403647 (or 1403631 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 39.

The spelling of 830034670080 in words is "eight hundred thirty billion, thirty-four million, six hundred seventy thousand, eighty".