Search a number
-
+
17420850720 = 25325713196997
BaseRepresentation
bin10000001110010111…
…010001011000100000
31122222002101220120100
4100032113101120200
5241134214210340
612000353142400
71154463534150
oct201627213040
948862356510
1017420850720
11742a685a99
12346225aa00
1318482553c0
14bb3950760
156be608830
hex40e5d1620

17420850720 has 576 divisors, whose sum is σ = 77029505280. Its totient is φ = 3481657344.

The previous prime is 17420850697. The next prime is 17420850749. The reversal of 17420850720 is 2705802471.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2486262 + ... + 2493258.

It is an arithmetic number, because the mean of its divisors is an integer number (133731780).

Almost surely, 217420850720 is an apocalyptic number.

17420850720 is a gapful number since it is divisible by the number (10) 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 17420850720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38514752640).

17420850720 is an abundant number, since it is smaller than the sum of its proper divisors (59608654560).

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

17420850720 is a wasteful number, since it uses less digits than its factorization.

17420850720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7057 (or 7046 counting only the distinct ones).

The product of its (nonzero) digits is 31360, while the sum is 36.

The spelling of 17420850720 in words is "seventeen billion, four hundred twenty million, eight hundred fifty thousand, seven hundred twenty".