Base | Representation |
---|---|
bin | 100010110001000110… |
… | …001100001000001000 |
3 | 10120100122201122020000 |
4 | 202301012030020020 |
5 | 1102423204200021 |
6 | 25052151203000 |
7 | 2461044440115 |
oct | 426106141010 |
9 | 116318648200 |
10 | 37330928136 |
11 | 14917376927 |
12 | 729a076460 |
13 | 369c1073b8 |
14 | 1b41d0990c |
15 | e87510b26 |
hex | 8b118c208 |
37330928136 has 160 divisors (see below), whose sum is σ = 112870929600. Its totient is φ = 11492046720.
The previous prime is 37330928101. The next prime is 37330928183. The reversal of 37330928136 is 63182903373.
37330928136 is a `hidden beast` number, since 3 + 7 + 330 + 9 + 281 + 36 = 666.
It is a junction number, because it is equal to n+sod(n) for n = 37330928091 and 37330928100.
It is an unprimeable number.
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 39 ways as a sum of consecutive naturals, for example, 389031 + ... + 475401.
It is an arithmetic number, because the mean of its divisors is an integer number (705443310).
Almost surely, 237330928136 is an apocalyptic number.
37330928136 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 37330928136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56435464800).
37330928136 is an abundant number, since it is smaller than the sum of its proper divisors (75540001464).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37330928136 is a wasteful number, since it uses less digits than its factorization.
37330928136 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 86441 (or 86428 counting only the distinct ones).
The product of its (nonzero) digits is 489888, while the sum is 45.
The spelling of 37330928136 in words is "thirty-seven billion, three hundred thirty million, nine hundred twenty-eight thousand, one hundred thirty-six".
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