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6930080000 = 285443313
BaseRepresentation
bin1100111010001000…
…01010000100000000
3122212222011112120122
412131010022010000
5103143100030000
63103355355412
7333506464604
oct63504120400
918788145518
106930080000
112a36938748
121414a52b68
1386599496c
1449a559504
152a8607085
hex19d10a100

6930080000 has 90 divisors (see below), whose sum is σ = 17286227574. Its totient is φ = 2771968000.

The previous prime is 6930079939. The next prime is 6930080029. The reversal of 6930080000 is 800396.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 675168256 + 6254911744 = 25984^2 + 79088^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 138344 + ... + 181656.

Almost surely, 26930080000 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 6930080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (8643113787).

6930080000 is an abundant number, since it is smaller than the sum of its proper divisors (10356147574).

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

6930080000 is an frugal number, since it uses more digits than its factorization.

6930080000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 43349 (or 43320 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 6930080000 is about 83247.1020516630. The cubic root of 6930080000 is about 1906.5407081499.

Adding to 6930080000 its reverse (800396), we get a palindrome (6930880396).

The spelling of 6930080000 in words is "six billion, nine hundred thirty million, eighty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 43313 80000 86626 160000 173252 216565 346504 433130 693008 866260 1082825 1386016 1732520 2165650 2772032 3465040 4331300 5414125 5544064 6930080 8662600 10828250 11088128 13860160 17325200 21656500 27070625 27720320 34650400 43313000 54141250 55440640 69300800 86626000 108282500 138601600 173252000 216565000 277203200 346504000 433130000 693008000 866260000 1386016000 1732520000 3465040000 6930080000