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6878979072 = 210327215233
BaseRepresentation
bin1100110100000010…
…01110010000000000
3122202102000100021200
412122001032100000
5103042004312242
63054332221200
7332316233400
oct63201162000
918672010250
106878979072
112a10005879
1213bb90a800
13858212424
14493856800
152a3db104c
hex19a04e400

6878979072 has 198 divisors, whose sum is σ = 23107342518. Its totient is φ = 1965293568.

The previous prime is 6878979071. The next prime is 6878979077. The reversal of 6878979072 is 2709798786.

It can be written as a sum of positive squares in only one way, i.e., 4790854656 + 2088124416 = 69216^2 + 45696^2 .

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (6878979071) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 443968 + ... + 459200.

Almost surely, 26878979072 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 6878979072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (11553671259).

6878979072 is an abundant number, since it is smaller than the sum of its proper divisors (16228363446).

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

6878979072 is a wasteful number, since it uses less digits than its factorization.

6878979072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15273 (or 15245 counting only the distinct ones).

The product of its (nonzero) digits is 21337344, while the sum is 63.

The square root of 6878979072 is about 82939.6109949884. The cubic root of 6878979072 is about 1901.8430013677.

The spelling of 6878979072 in words is "six billion, eight hundred seventy-eight million, nine hundred seventy-nine thousand, seventy-two".