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6986920248 = 23337111992111
BaseRepresentation
bin1101000000111001…
…11111000100111000
3200000221010022202000
412200130333010320
5103302122421443
63113145541000
7335066561610
oct64034770470
920027108660
106986920248
112a65a30660
12142baa4760
138746a6649
144a3d13a40
152ad5d38d3
hex1a073f138

6986920248 has 256 divisors, whose sum is σ = 24330240000. Its totient is φ = 1804809600.

The previous prime is 6986920229. The next prime is 6986920273. The reversal of 6986920248 is 8420296896.

It is a happy number.

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

It is a junction number, because it is equal to n+sod(n) for n = 6986920194 and 6986920203.

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, 3308713 + ... + 3310823.

It is an arithmetic number, because the mean of its divisors is an integer number (95040000).

Almost surely, 26986920248 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 6986920248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12165120000).

6986920248 is an abundant number, since it is smaller than the sum of its proper divisors (17343319752).

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

6986920248 is a wasteful number, since it uses less digits than its factorization.

6986920248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2343 (or 2333 counting only the distinct ones).

The product of its (nonzero) digits is 2985984, while the sum is 54.

The square root of 6986920248 is about 83587.7996360713. The cubic root of 6986920248 is about 1911.7389796454.

The spelling of 6986920248 in words is "six billion, nine hundred eighty-six million, nine hundred twenty thousand, two hundred forty-eight".