Base | Representation |
---|---|
bin | 10010111010010111… |
… | …11101001101000000 |
3 | 222012121022121201020 |
4 | 21131023331031000 |
5 | 131243224144302 |
6 | 4355301305440 |
7 | 506416023234 |
oct | 113513751500 |
9 | 28177277636 |
10 | 10153349952 |
11 | 4340335109 |
12 | 1b74405280 |
13 | c5a6c00a5 |
14 | 6c46805c4 |
15 | 3e659eebc |
hex | 25d2fd340 |
10153349952 has 28 divisors (see below), whose sum is σ = 26864072256. Its totient is φ = 3384449920.
The previous prime is 10153349929. The next prime is 10153349957. The reversal of 10153349952 is 25994335101.
10153349952 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10153349957) 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 3 ways as a sum of consecutive naturals, for example, 26440824 + ... + 26441207.
It is an arithmetic number, because the mean of its divisors is an integer number (959431152).
Almost surely, 210153349952 is an apocalyptic number.
10153349952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.
It is an amenable number.
10153349952 is an abundant number, since it is smaller than the sum of its proper divisors (16710722304).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10153349952 is an equidigital number, since it uses as much as digits as its factorization.
10153349952 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 52882046 (or 52882036 counting only the distinct ones).
The product of its (nonzero) digits is 145800, while the sum is 42.
The spelling of 10153349952 in words is "ten billion, one hundred fifty-three million, three hundred forty-nine thousand, nine hundred fifty-two".
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