Base | Representation |
---|---|
bin | 100010001111100… |
… | …0001110010110000 |
3 | 2222002000110102100 |
4 | 1010133001302300 |
5 | 4323120000441 |
6 | 310002420400 |
7 | 40321131012 |
oct | 10437016260 |
9 | 2862013370 |
10 | 1148984496 |
11 | 53a632070 |
12 | 280961700 |
13 | 154071aaa |
14 | ac8501b2 |
15 | 6ad0ecb6 |
hex | 447c1cb0 |
1148984496 has 120 divisors (see below), whose sum is σ = 3621196800. Its totient is φ = 336931200.
The previous prime is 1148984483. The next prime is 1148984503. The reversal of 1148984496 is 6944898411.
It is a happy number.
1148984496 is a `hidden beast` number, since 1 + 148 + 9 + 8 + 4 + 496 = 666.
It is a nude number because it is divisible by every one of its digits.
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 23 ways as a sum of consecutive naturals, for example, 37405 + ... + 60803.
It is an arithmetic number, because the mean of its divisors is an integer number (30176640).
Almost surely, 21148984496 is an apocalyptic number.
1148984496 is a gapful number since it is divisible by the number (16) 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 1148984496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1810598400).
1148984496 is an abundant number, since it is smaller than the sum of its proper divisors (2472212304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
1148984496 is a wasteful number, since it uses less digits than its factorization.
1148984496 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 23455 (or 23446 counting only the distinct ones).
The product of its digits is 1990656, while the sum is 54.
The square root of 1148984496 is about 33896.6738191227. The cubic root of 1148984496 is about 1047.3810759968.
The spelling of 1148984496 in words is "one billion, one hundred forty-eight million, nine hundred eighty-four thousand, four hundred ninety-six".
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