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6980019552 = 2532113131139
BaseRepresentation
bin1101000000000101…
…01010010101100000
3200000110010201202200
412200002222111200
5103243341111202
63112342013200
7334654121142
oct64002522540
920013121680
106980019552
112a62048000
121429717200
1387312b6ac
144a3038c92
152acbbde1c
hex1a00aa560

6980019552 has 288 divisors, whose sum is σ = 22157815680. Its totient is φ = 2083910400.

The previous prime is 6980019533. The next prime is 6980019589. The reversal of 6980019552 is 2559100896.

6980019552 is a `hidden beast` number, since 6 + 9 + 80 + 0 + 19 + 552 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 6980019498 and 6980019507.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 50215899 + ... + 50216037.

It is an arithmetic number, because the mean of its divisors is an integer number (76936860).

Almost surely, 26980019552 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 6980019552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11078907840).

6980019552 is an abundant number, since it is smaller than the sum of its proper divisors (15177796128).

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

6980019552 is a wasteful number, since it uses less digits than its factorization.

6980019552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 319 (or 286 counting only the distinct ones).

The product of its (nonzero) digits is 194400, while the sum is 45.

The square root of 6980019552 is about 83546.5113095694. The cubic root of 6980019552 is about 1911.1093901353.

The spelling of 6980019552 in words is "six billion, nine hundred eighty million, nineteen thousand, five hundred fifty-two".