Base | Representation |
---|---|
bin | 100010100000010110… |
… | …001010010010100000 |
3 | 10112122001221001011111 |
4 | 202200112022102200 |
5 | 1101334233332430 |
6 | 25004231553104 |
7 | 2451062654461 |
oct | 424026122240 |
9 | 115561831144 |
10 | 37049902240 |
11 | 14792781a1a |
12 | 721bb2b794 |
13 | 3655b20aa0 |
14 | 1b16874d68 |
15 | e6c9edc2a |
hex | 8a058a4a0 |
37049902240 has 96 divisors (see below), whose sum is σ = 95128886160. Its totient is φ = 13554376704.
The previous prime is 37049902237. The next prime is 37049902243. The reversal of 37049902240 is 4220994073.
It is an interprime number because it is at equal distance from previous prime (37049902237) and next prime (37049902243).
It can be written as a sum of positive squares in 8 ways, for example, as 8026009744 + 29023892496 = 89588^2 + 170364^2 .
It is a Harshad number since it is a multiple of its sum of digits (40).
It is a junction number, because it is equal to n+sod(n) for n = 37049902193 and 37049902202.
It is not an unprimeable number, because it can be changed into a prime (37049902243) by changing a digit.
It is a pernicious number, because its binary representation contains a prime number (11) of ones.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 145012 + ... + 308428.
Almost surely, 237049902240 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 37049902240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47564443080).
37049902240 is an abundant number, since it is smaller than the sum of its proper divisors (58078983920).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37049902240 is a wasteful number, since it uses less digits than its factorization.
37049902240 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 163554 (or 163546 counting only the distinct ones).
The product of its (nonzero) digits is 108864, while the sum is 40.
The spelling of 37049902240 in words is "thirty-seven billion, forty-nine million, nine hundred two thousand, two hundred forty".
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