Base | Representation |
---|---|
bin | 1000000001011111… |
… | …0101011110011110 |
3 | 12120002121220212210 |
4 | 2000113311132132 |
5 | 13402323410443 |
6 | 553413541250 |
7 | 104241264015 |
oct | 20027653636 |
9 | 5502556783 |
10 | 2153731998 |
11 | a057a8800 |
12 | 501344826 |
13 | 284281b42 |
14 | 166075a7c |
15 | c912cc33 |
hex | 805f579e |
2153731998 has 48 divisors (see below), whose sum is σ = 4746325248. Its totient is φ = 651037200.
The previous prime is 2153731967. The next prime is 2153731999. The reversal of 2153731998 is 8991373512.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (2153731999) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (17) of ones.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 309465 + ... + 316347.
It is an arithmetic number, because the mean of its divisors is an integer number (98881776).
Almost surely, 22153731998 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 2153731998, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2373162624).
2153731998 is an abundant number, since it is smaller than the sum of its proper divisors (2592593250).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
2153731998 is a wasteful number, since it uses less digits than its factorization.
2153731998 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7341 (or 7330 counting only the distinct ones).
The product of its digits is 408240, while the sum is 48.
The square root of 2153731998 is about 46408.3181983575. The cubic root of 2153731998 is about 1291.4092321439.
It can be divided in two parts, 21537 and 31998, that added together give a palindrome (53535).
The spelling of 2153731998 in words is "two billion, one hundred fifty-three million, seven hundred thirty-one thousand, nine hundred ninety-eight".
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