Search a number
-
+
197981118720 = 283257111719691
BaseRepresentation
bin1011100001100010011…
…0000010000100000000
3200221000122101220000200
42320120212002010000
511220431131244340
6230541250245200
720206104512520
oct2703046020400
9627018356020
10197981118720
1176a661a8880
1232453586800
1315891c93978
149821d0d680
15523b0d2330
hex2e18982100

197981118720 has 1728 divisors, whose sum is σ = 953224796160. Its totient is φ = 36628070400.

The previous prime is 197981118719. The next prime is 197981118749. The reversal of 197981118720 is 27811189791.

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 191 ways as a sum of consecutive naturals, for example, 286513575 + ... + 286514265.

It is an arithmetic number, because the mean of its divisors is an integer number (551634720).

Almost surely, 2197981118720 is an apocalyptic number.

197981118720 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 197981118720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (476612398080).

197981118720 is an abundant number, since it is smaller than the sum of its proper divisors (755243677440).

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

197981118720 is a wasteful number, since it uses less digits than its factorization.

197981118720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 772 (or 755 counting only the distinct ones).

The product of its (nonzero) digits is 508032, while the sum is 54.

The spelling of 197981118720 in words is "one hundred ninety-seven billion, nine hundred eighty-one million, one hundred eighteen thousand, seven hundred twenty".