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6980829966 = 234113917413
BaseRepresentation
bin1101000000001011…
…10000001100001110
3200000111122220110000
412200011300030032
5103244043024331
63112411225130
7334664034645
oct64005601416
920014586400
106980829966
112a62550970
121429a481a6
13873353526
144a31aa35c
152accce0e6
hex1a017030e

6980829966 has 40 divisors (see below), whose sum is σ = 17064255384. Its totient is φ = 2115402480.

The previous prime is 6980829949. The next prime is 6980829971. The reversal of 6980829966 is 6699280896.

It is a super-2 number, since 2×69808299662 = 97463974028407122312, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1956925 + ... + 1960488.

Almost surely, 26980829966 is an apocalyptic number.

6980829966 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

6980829966 is an abundant number, since it is smaller than the sum of its proper divisors (10083425418).

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

6980829966 is a wasteful number, since it uses less digits than its factorization.

6980829966 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3917438 (or 3917429 counting only the distinct ones).

The product of its (nonzero) digits is 20155392, while the sum is 63.

The square root of 6980829966 is about 83551.3612456434. The cubic root of 6980829966 is about 1911.1833502847.

The spelling of 6980829966 in words is "six billion, nine hundred eighty million, eight hundred twenty-nine thousand, nine hundred sixty-six".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 297 594 891 1782 3917413 7834826 11752239 23504478 35256717 43091543 70513434 86183086 105770151 129274629 211540302 258549258 317310453 387823887 634620906 775647774 1163471661 2326943322 3490414983 6980829966