Search a number
-
+
17090442720 = 25375132172
BaseRepresentation
bin11111110101010101…
…10111010111100000
31122010001200110000000
433322222313113200
5240000123131340
611503511300000
71143342236421
oct177252672740
948101613000
1017090442720
11728012262a
12338b67a600
1317c496ba00
14b81b03648
156a05ded30
hex3faab75e0

17090442720 has 864 divisors, whose sum is σ = 69655451040. Its totient is φ = 3959414784.

The previous prime is 17090442701. The next prime is 17090442763. The reversal of 17090442720 is 2724409071.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 1005320152 + ... + 1005320168.

It is an arithmetic number, because the mean of its divisors is an integer number (80619735).

Almost surely, 217090442720 is an apocalyptic number.

17090442720 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 17090442720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34827725520).

17090442720 is an abundant number, since it is smaller than the sum of its proper divisors (52565008320).

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

17090442720 is an equidigital number, since it uses as much as digits as its factorization.

17090442720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 40 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The spelling of 17090442720 in words is "seventeen billion, ninety million, four hundred forty-two thousand, seven hundred twenty".