Search a number
-
+
148135160448 = 27331119673061
BaseRepresentation
bin1000100111110110001…
…0110010101010000000
3112011100210102211221000
42021331202302222000
54411340100113243
6152015150332000
713462633042152
oct2117542625200
9464323384830
10148135160448
1157907488640
12248621ba000
1310c7a1096c2
147253c3aad2
153cc00195d3
hex227d8b2a80

148135160448 has 512 divisors, whose sum is σ = 509712768000. Its totient is φ = 41878425600.

The previous prime is 148135160447. The next prime is 148135160471. The reversal of 148135160448 is 844061531841.

148135160448 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 35 + 1 + 604 + 4 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (148135160441) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 48392838 + ... + 48395898.

It is an arithmetic number, because the mean of its divisors is an integer number (995532750).

Almost surely, 2148135160448 is an apocalyptic number.

148135160448 is a gapful number since it is divisible by the number (18) 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 148135160448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254856384000).

148135160448 is an abundant number, since it is smaller than the sum of its proper divisors (361577607552).

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

148135160448 is a wasteful number, since it uses less digits than its factorization.

148135160448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3181 (or 3163 counting only the distinct ones).

The product of its (nonzero) digits is 368640, while the sum is 45.

The spelling of 148135160448 in words is "one hundred forty-eight billion, one hundred thirty-five million, one hundred sixty thousand, four hundred forty-eight".