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6980736000 = 2103537353
BaseRepresentation
bin1101000000001010…
…11001010000000000
3200000111111010112210
412200011121100000
5103244032023000
63112405222120
7334663164000
oct64005312000
920014433483
106980736000
112a62497307
121429a01940
1387331c824
144a3184000
152accb1350
hex1a0159400

6980736000 has 704 divisors, whose sum is σ = 27590284800. Its totient is φ = 1565491200.

The previous prime is 6980735987. The next prime is 6980736011. The reversal of 6980736000 is 6370896.

It is a self number, because there is not a number n which added to its sum of digits gives 6980736000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 131711974 + ... + 131712026.

Almost surely, 26980736000 is an apocalyptic number.

6980736000 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 6980736000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (13795142400).

6980736000 is an abundant number, since it is smaller than the sum of its proper divisors (20609548800).

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

6980736000 is an equidigital number, since it uses as much as digits as its factorization.

6980736000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 112 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 6980736000 is about 83550.7989189810. The cubic root of 6980736000 is about 1911.1747750360.

The spelling of 6980736000 in words is "six billion, nine hundred eighty million, seven hundred thirty-six thousand".