Search a number
-
+
6990720000 = 21035411331
BaseRepresentation
bin1101000001010110…
…11110110000000000
3200001012021101000120
412200223132300000
5103304111020000
63113403220240
7335144065605
oct64053366000
920035241016
106990720000
112a68096450
121431217680
13875407014
144a46226ac
152adad46a0
hex1a0adec00

6990720000 has 440 divisors, whose sum is σ = 25476994752. Its totient is φ = 1689600000.

The previous prime is 6990719993. The next prime is 6990720031. The reversal of 6990720000 is 270996.

It is a tau number, because it is divible by the number of its divisors (440).

It is a super-2 number, since 2×69907200002 = 97740332236800000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 21119835 + ... + 21120165.

Almost surely, 26990720000 is an apocalyptic number.

6990720000 is a gapful number since it is divisible by the number (60) 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 6990720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12738497376).

6990720000 is an abundant number, since it is smaller than the sum of its proper divisors (18486274752).

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

6990720000 is a wasteful number, since it uses less digits than its factorization.

6990720000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 385 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 6804, while the sum is 33.

The square root of 6990720000 is about 83610.5256531736. The cubic root of 6990720000 is about 1912.0854755413.

Adding to 6990720000 its reverse (270996), we get a palindrome (6990990996).

The spelling of 6990720000 in words is "six billion, nine hundred ninety million, seven hundred twenty thousand".