Search a number
-
+
193680963168 = 253711130720047
BaseRepresentation
bin1011010001100001001…
…0001111011001100000
3200111220221220100120020
42310120102033121200
511133124311310133
6224550435113440
716664411011050
oct2643022173140
9614827810506
10193680963168
1175159944310
1231653442880
131535811b724
149534b85560
15508881c0b3
hex2d1848f660

193680963168 has 192 divisors, whose sum is σ = 634381590528. Its totient is φ = 50265745920.

The previous prime is 193680963137. The next prime is 193680963169. The reversal of 193680963168 is 861369086391.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193680963169) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9651321 + ... + 9671367.

It is an arithmetic number, because the mean of its divisors is an integer number (3304070784).

Almost surely, 2193680963168 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 193680963168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317190795264).

193680963168 is an abundant number, since it is smaller than the sum of its proper divisors (440700627360).

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

193680963168 is a wasteful number, since it uses less digits than its factorization.

193680963168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21385 (or 21377 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 60.

The spelling of 193680963168 in words is "one hundred ninety-three billion, six hundred eighty million, nine hundred sixty-three thousand, one hundred sixty-eight".