Search a number
-
+
192834103308 = 223711191732367
BaseRepresentation
bin1011001110010111001…
…1101110100000001100
3200102201221101102020020
42303211303232200030
511124411012301213
6224330424022140
716634415555630
oct2634563564014
9612657342206
10192834103308
1174864907a30
1231457901950
131525183c812
1494944dcdc0
1550392da923
hex2ce5cee80c

192834103308 has 288 divisors, whose sum is σ = 595548119040. Its totient is φ = 47047806720.

The previous prime is 192834103283. The next prime is 192834103313. The reversal of 192834103308 is 803301438291.

192834103308 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a self number, because there is not a number n which added to its sum of digits gives 192834103308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 525433341 + ... + 525433707.

Almost surely, 2192834103308 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 192834103308, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297774059520).

192834103308 is an abundant number, since it is smaller than the sum of its proper divisors (402714015732).

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

192834103308 is a wasteful number, since it uses less digits than its factorization.

192834103308 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 582 counting only the distinct ones).

The product of its (nonzero) digits is 124416, while the sum is 42.

The spelling of 192834103308 in words is "one hundred ninety-two billion, eight hundred thirty-four million, one hundred three thousand, three hundred eight".