Base | Representation |
---|---|
bin | 10010101100100011… |
… | …00001100111111100 |
3 | 221220112002012020000 |
4 | 21112101201213330 |
5 | 131024031304330 |
6 | 4335555354300 |
7 | 503510142315 |
oct | 112621414774 |
9 | 27815065200 |
10 | 10037369340 |
11 | 4290919169 |
12 | 1b415b2990 |
13 | c3c6727cb |
14 | 6b30cd60c |
15 | 3db2e0560 |
hex | 2564619fc |
10037369340 has 120 divisors (see below), whose sum is σ = 31728633552. Its totient is φ = 2656143360.
The previous prime is 10037369333. The next prime is 10037369341. The reversal of 10037369340 is 4396373001.
10037369340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
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 = 10037369295 and 10037369304.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (10037369341) 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 39 ways as a sum of consecutive naturals, for example, 188572 + ... + 235868.
Almost surely, 210037369340 is an apocalyptic number.
10037369340 is a gapful number since it is divisible by the number (10) 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 10037369340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15864316776).
10037369340 is an abundant number, since it is smaller than the sum of its proper divisors (21691264212).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
10037369340 is a wasteful number, since it uses less digits than its factorization.
10037369340 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 47449 (or 47438 counting only the distinct ones).
The product of its (nonzero) digits is 40824, while the sum is 36.
The spelling of 10037369340 in words is "ten billion, thirty-seven million, three hundred sixty-nine thousand, three hundred forty".
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