Base | Representation |
---|---|
bin | 1000101000011101001… |
… | …1100011001000000000 |
3 | 112011210012121112220000 |
4 | 2022013103203020000 |
5 | 4412204011434312 |
6 | 152043320520000 |
7 | 13466662110264 |
oct | 2120723431000 |
9 | 464705545800 |
10 | 148298936832 |
11 | 5799097a222 |
12 | 248a9020000 |
13 | 10ca501ccc7 |
14 | 726b8b00a4 |
15 | 3cce5baadc |
hex | 22874e3200 |
148298936832 has 450 divisors, whose sum is σ = 464993191377. Its totient is φ = 47054131200.
The previous prime is 148298936783. The next prime is 148298936861. The reversal of 148298936832 is 238639892841.
It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.
148298936832 is a `hidden beast` number, since 1 + 482 + 9 + 8 + 93 + 68 + 3 + 2 = 666.
It can be written as a sum of positive squares in 2 ways, for example, as 100453499136 + 47845437696 = 316944^2 + 218736^2 .
It is an ABA number since it can be written as A⋅BA, here for A=2, B=272304.
It is a nude number because it is divisible by every one of its digits.
It is a self number, because there is not a number n which added to its sum of digits gives 148298936832.
It is an unprimeable number.
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 44 ways as a sum of consecutive naturals, for example, 2431130082 + ... + 2431130142.
Almost surely, 2148298936832 is an apocalyptic number.
148298936832 is a gapful number since it is divisible by the number (12) 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 148298936832
148298936832 is an abundant number, since it is smaller than the sum of its proper divisors (316694254545).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
148298936832 is an frugal number, since it uses more digits than its factorization.
148298936832 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 214 (or 97 counting only the distinct ones).
The product of its digits is 35831808, while the sum is 63.
The spelling of 148298936832 in words is "one hundred forty-eight billion, two hundred ninety-eight million, nine hundred thirty-six thousand, eight hundred thirty-two".
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