Search a number
-
+
103798760448 = 210337929983
BaseRepresentation
bin110000010101011100…
…0110110010000000000
3100220220220200100221010
41200222320312100000
53200034440313243
6115403503400520
710333141622565
oct1405270662000
9326826610833
10103798760448
1140025770049
1218149bb3140
139a328318a6
14504978c86c
152a779ad433
hex182ae36400

103798760448 has 176 divisors, whose sum is σ = 284734097280. Its totient is φ = 33594015744.

The previous prime is 103798760447. The next prime is 103798760467. The reversal of 103798760448 is 844067897301.

It is not an unprimeable number, because it can be changed into a prime (103798760447) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 105593365 + ... + 105594347.

Almost surely, 2103798760448 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 103798760448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142367048640).

103798760448 is an abundant number, since it is smaller than the sum of its proper divisors (180935336832).

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

103798760448 is an equidigital number, since it uses as much as digits as its factorization.

103798760448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1972 (or 1954 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 103798760448 in words is "one hundred three billion, seven hundred ninety-eight million, seven hundred sixty thousand, four hundred forty-eight".