Base | Representation |
---|---|
bin | 1110000001001011… |
… | …1010001010100000 |
3 | 100201020211220120100 |
4 | 3200102322022200 |
5 | 30201320200331 |
6 | 1421223142400 |
7 | 162152265426 |
oct | 34022721240 |
9 | 10636756510 |
10 | 3763053216 |
11 | 166116663a |
12 | 8902a4a00 |
13 | 47c7cc510 |
14 | 279ab5116 |
15 | 17056dae6 |
hex | e04ba2a0 |
3763053216 has 144 divisors (see below), whose sum is σ = 11631339720. Its totient is φ = 1147115520.
The previous prime is 3763053209. The next prime is 3763053223. The reversal of 3763053216 is 6123503673.
3763053216 is a `hidden beast` number, since 3 + 7 + 630 + 5 + 3 + 2 + 16 = 666.
It is an interprime number because it is at equal distance from previous prime (3763053209) and next prime (3763053223).
It can be written as a sum of positive squares in 4 ways, for example, as 3549776400 + 213276816 = 59580^2 + 14604^2 .
It is a tau number, because it is divible by the number of its divisors (144).
It is a Harshad number since it is a multiple of its sum of digits (36).
It is an unprimeable number.
It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 403486 + ... + 412706.
Almost surely, 23763053216 is an apocalyptic number.
3763053216 is a gapful number since it is divisible by the number (36) 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 3763053216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (5815669860).
3763053216 is an abundant number, since it is smaller than the sum of its proper divisors (7868286504).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
3763053216 is a wasteful number, since it uses less digits than its factorization.
3763053216 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9359 (or 9348 counting only the distinct ones).
The product of its (nonzero) digits is 68040, while the sum is 36.
The square root of 3763053216 is about 61343.7300463544. The cubic root of 3763053216 is about 1555.4168044163.
Adding to 3763053216 its reverse (6123503673), we get a palindrome (9886556889).
The spelling of 3763053216 in words is "three billion, seven hundred sixty-three million, fifty-three thousand, two hundred sixteen".
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