Base | Representation |
---|---|
bin | 10010111010000000… |
… | …10011011100100000 |
3 | 222012101120102120000 |
4 | 21131000103130200 |
5 | 131241433422303 |
6 | 4355112020000 |
7 | 506351041515 |
oct | 113500233440 |
9 | 28171512500 |
10 | 10150295328 |
11 | 4339639128 |
12 | 1b73391600 |
13 | c59b90914 |
14 | 6c40c730c |
15 | 3e6199da3 |
hex | 25d013720 |
10150295328 has 120 divisors (see below), whose sum is σ = 29977447500. Its totient is φ = 3369185280.
The previous prime is 10150295321. The next prime is 10150295333. The reversal of 10150295328 is 82359205101.
It can be written as a sum of positive squares in 2 ways, for example, as 9822395664 + 327899664 = 99108^2 + 18108^2 .
It is a Harshad number since it is a multiple of its sum of digits (36).
It is a junction number, because it is equal to n+sod(n) for n = 10150295292 and 10150295301.
It is not an unprimeable number, because it can be changed into a prime (10150295321) by changing a digit.
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 19 ways as a sum of consecutive naturals, for example, 616548 + ... + 632796.
Almost surely, 210150295328 is an apocalyptic number.
10150295328 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 10150295328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14988723750).
10150295328 is an abundant number, since it is smaller than the sum of its proper divisors (19827152172).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10150295328 is a wasteful number, since it uses less digits than its factorization.
10150295328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 16512 (or 16495 counting only the distinct ones).
The product of its (nonzero) digits is 21600, while the sum is 36.
The spelling of 10150295328 in words is "ten billion, one hundred fifty million, two hundred ninety-five thousand, three hundred twenty-eight".
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