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6989431680 = 2734571117103
BaseRepresentation
bin1101000001001101…
…00100001110000000
3200001002211220210000
412200212210032000
5103303243303210
63113315440000
7335130121560
oct64046441600
920032756700
106989431680
112a67396520
1214308b6000
138750757ba
144a43a8da0
152ad92cac0
hex1a09a4380

6989431680 has 1280 divisors, whose sum is σ = 33270082560. Its totient is φ = 1353646080.

The previous prime is 6989431679. The next prime is 6989431681. The reversal of 6989431680 is 861349896.

It is an interprime number because it is at equal distance from previous prime (6989431679) and next prime (6989431681).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (6989431681) by changing a digit.

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 159 ways as a sum of consecutive naturals, for example, 67858509 + ... + 67858611.

It is an arithmetic number, because the mean of its divisors is an integer number (25992252).

Almost surely, 26989431680 is an apocalyptic number.

6989431680 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 6989431680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16635041280).

6989431680 is an abundant number, since it is smaller than the sum of its proper divisors (26280650880).

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

6989431680 is a wasteful number, since it uses less digits than its factorization.

6989431680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169 (or 148 counting only the distinct ones).

The product of its (nonzero) digits is 2239488, while the sum is 54.

The square root of 6989431680 is about 83602.8210050355. The cubic root of 6989431680 is about 1911.9680088950.

The spelling of 6989431680 in words is "six billion, nine hundred eighty-nine million, four hundred thirty-one thousand, six hundred eighty".