Search a number
-
+
148302035568 = 24341791913347
BaseRepresentation
bin1000101000011101111…
…1010111101001110000
3112011210102102222120000
42022013133113221300
54412210310114233
6152043511150000
713500030334431
oct2120737275160
9464712388500
10148302035568
11579926a6365
12248aa075300
1310ca586658b
14726c079488
153cce9cdd13
hex22877d7a70

148302035568 has 200 divisors, whose sum is σ = 434016506880. Its totient is φ = 48885863040.

The previous prime is 148302035549. The next prime is 148302035569. The reversal of 148302035568 is 865530203841.

148302035568 is a `hidden beast` number, since 1 + 4 + 8 + 30 + 20 + 35 + 568 = 666.

148302035568 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1483020355682 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (148302035569) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 44307271 + ... + 44310617.

Almost surely, 2148302035568 is an apocalyptic number.

148302035568 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 148302035568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217008253440).

148302035568 is an abundant number, since it is smaller than the sum of its proper divisors (285714471312).

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

148302035568 is a wasteful number, since it uses less digits than its factorization.

148302035568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3737 (or 3722 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 148302035568 in words is "one hundred forty-eight billion, three hundred two million, thirty-five thousand, five hundred sixty-eight".