| Base | Representation |
|---|---|
| bin | 10011010010010101… |
| … | …10101001110111000 |
| 3 | 222201121121002111110 |
| 4 | 21221022311032320 |
| 5 | 132201210204002 |
| 6 | 4431242200320 |
| 7 | 514406535621 |
| oct | 115112651670 |
| 9 | 28647532443 |
| 10 | 10354381752 |
| 11 | 44338622a0 |
| 12 | 200b7b30a0 |
| 13 | c90248c10 |
| 14 | 703250a48 |
| 15 | 40905ee6c |
| hex | 2692b53b8 |
10354381752 has 256 divisors, whose sum is σ = 31135104000. Its totient is φ = 2828390400.
The previous prime is 10354381733. The next prime is 10354381757. The reversal of 10354381752 is 25718345301.
It is a happy number.
10354381752 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-3 number, since 3×103543817523 (a number of 31 digits) contains 333 as substring.
It is a Harshad number since it is a multiple of its sum of digits (39).
It is a self number, because there is not a number n which added to its sum of digits gives 10354381752.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10354381757) 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 63 ways as a sum of consecutive naturals, for example, 33293677 + ... + 33293987.
It is an arithmetic number, because the mean of its divisors is an integer number (121621500).
Almost surely, 210354381752 is an apocalyptic number.
10354381752 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 10354381752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15567552000).
10354381752 is an abundant number, since it is smaller than the sum of its proper divisors (20780722248).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10354381752 is a wasteful number, since it uses less digits than its factorization.
10354381752 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 542 (or 538 counting only the distinct ones).
The product of its (nonzero) digits is 100800, while the sum is 39.
The spelling of 10354381752 in words is "ten billion, three hundred fifty-four million, three hundred eighty-one thousand, seven hundred fifty-two".
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