Search a number
-
+
79780546560 = 21135112132127
BaseRepresentation
bin100101001001101001…
…0101000100000000000
321121221001011200110210
41022103102220200000
52301342304442220
6100352313554120
75523015312441
oct1122322504000
9247831150423
1079780546560
1130920047500
1213566415940
1376a5829100
143c0b9712c8
15211e0c06e0
hex12934a8800

79780546560 has 864 divisors, whose sum is σ = 306180725760. Its totient is φ = 17712414720.

The previous prime is 79780546553. The next prime is 79780546583. The reversal of 79780546560 is 6564508797.

It is a self number, because there is not a number n which added to its sum of digits gives 79780546560.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 628193217 + ... + 628193343.

It is an arithmetic number, because the mean of its divisors is an integer number (354375840).

Almost surely, 279780546560 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 79780546560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153090362880).

79780546560 is an abundant number, since it is smaller than the sum of its proper divisors (226400179200).

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

79780546560 is a wasteful number, since it uses less digits than its factorization.

79780546560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 12700800, while the sum is 57.

The spelling of 79780546560 in words is "seventy-nine billion, seven hundred eighty million, five hundred forty-six thousand, five hundred sixty".