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6983030736 = 2435112331229
BaseRepresentation
bin1101000000011100…
…01001011111010000
3200000122210201100000
412200032021133100
5103300123440421
63112530330000
7335021532123
oct64016113720
920018721300
106983030736
112a63814390
12142a729900
13873944166
144a35c03ba
152ad0b6226
hex1a03897d0

6983030736 has 480 divisors, whose sum is σ = 23918469120. Its totient is φ = 1950220800.

The previous prime is 6983030729. The next prime is 6983030773. The reversal of 6983030736 is 6370303896.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 6983030691 and 6983030700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30493470 + ... + 30493698.

It is an arithmetic number, because the mean of its divisors is an integer number (49830144).

Almost surely, 26983030736 is an apocalyptic number.

6983030736 is a gapful number since it is divisible by the number (66) 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 6983030736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11959234560).

6983030736 is an abundant number, since it is smaller than the sum of its proper divisors (16935438384).

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

6983030736 is a wasteful number, since it uses less digits than its factorization.

6983030736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 299 counting only the distinct ones).

The product of its (nonzero) digits is 489888, while the sum is 45.

The square root of 6983030736 is about 83564.5303702474. The cubic root of 6983030736 is about 1911.3841684816.

The spelling of 6983030736 in words is "six billion, nine hundred eighty-three million, thirty thousand, seven hundred thirty-six".