Search a number
-
+
193297838448 = 2431113237127461
BaseRepresentation
bin1011010000000101110…
…0101111000101110000
3200110221020222121020210
42310001130233011300
511131333221312243
6224444431304120
716652046342261
oct2640134570560
9613836877223
10193297838448
1174a82655010
123156707b040
13152c6938200
1494d9d34968
155064d8d933
hex2d0172f170

193297838448 has 480 divisors, whose sum is σ = 611912835072. Its totient is φ = 52080537600.

The previous prime is 193297838441. The next prime is 193297838477. The reversal of 193297838448 is 844838792391.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (193297838441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 419300938 + ... + 419301398.

Almost surely, 2193297838448 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 193297838448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305956417536).

193297838448 is an abundant number, since it is smaller than the sum of its proper divisors (418614996624).

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

193297838448 is a wasteful number, since it uses less digits than its factorization.

193297838448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 654 counting only the distinct ones).

The product of its digits is 83607552, while the sum is 66.

The spelling of 193297838448 in words is "one hundred ninety-three billion, two hundred ninety-seven million, eight hundred thirty-eight thousand, four hundred forty-eight".