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6830055468 = 22325913124547
BaseRepresentation
bin1100101110001101…
…00110000000101100
3122121222221202201100
412113012212000230
5102441443233333
63045423443100
7331153341105
oct62706460054
918558852640
106830055468
11299542a845
1213a7456490
1384b042c52
1448b15d3ac
1529e94a213
hex1971a602c

6830055468 has 72 divisors (see below), whose sum is σ = 17692234560. Its totient is φ = 2220922080.

The previous prime is 6830055461. The next prime is 6830055581. The reversal of 6830055468 is 8645500386.

6830055468 is a `hidden beast` number, since 6 + 8 + 30 + 0 + 554 + 68 = 666.

It is not an unprimeable number, because it can be changed into a prime (6830055461) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265971 + ... + 290517.

It is an arithmetic number, because the mean of its divisors is an integer number (245725480).

Almost surely, 26830055468 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 6830055468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8846117280).

6830055468 is an abundant number, since it is smaller than the sum of its proper divisors (10862179092).

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

6830055468 is a wasteful number, since it uses less digits than its factorization.

6830055468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24747 (or 24742 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The square root of 6830055468 is about 82644.1496296017. The cubic root of 6830055468 is about 1897.3236064267.

The spelling of 6830055468 in words is "six billion, eight hundred thirty million, fifty-five thousand, four hundred sixty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 59 118 131 177 236 262 354 393 524 531 708 786 1062 1179 1572 2124 2358 4716 7729 15458 23187 24547 30916 46374 49094 69561 73641 92748 98188 139122 147282 220923 278244 294564 441846 883692 1448273 2896546 3215657 4344819 5793092 6431314 8689638 9646971 12862628 13034457 17379276 19293942 26068914 28940913 38587884 52137828 57881826 115763652 189723763 379447526 569171289 758895052 1138342578 1707513867 2276685156 3415027734 6830055468