Base | Representation |
---|---|
bin | 100010110000001001… |
… | …111011001111011000 |
3 | 10120022120000000201000 |
4 | 202300021323033120 |
5 | 1102410133132303 |
6 | 25050424425000 |
7 | 2460463242300 |
oct | 426011731730 |
9 | 116276000630 |
10 | 37315130328 |
11 | 14909466793 |
12 | 7294918160 |
13 | 3698a65898 |
14 | 1b3db96600 |
15 | e85e3eda3 |
hex | 8b027b3d8 |
37315130328 has 384 divisors, whose sum is σ = 126842328000. Its totient is φ = 10119997440.
The previous prime is 37315130317. The next prime is 37315130341. The reversal of 37315130328 is 82303151373.
37315130328 is a `hidden beast` number, since 3 + 7 + 315 + 13 + 0 + 328 = 666.
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 = 37315130292 and 37315130301.
It is a congruent number.
It is an unprimeable number.
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 95 ways as a sum of consecutive naturals, for example, 18722100 + ... + 18724092.
Almost surely, 237315130328 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 37315130328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (63421164000).
37315130328 is an abundant number, since it is smaller than the sum of its proper divisors (89527197672).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37315130328 is a wasteful number, since it uses less digits than its factorization.
37315130328 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 2112 (or 2095 counting only the distinct ones).
The product of its (nonzero) digits is 45360, while the sum is 36.
The spelling of 37315130328 in words is "thirty-seven billion, three hundred fifteen million, one hundred thirty thousand, three hundred twenty-eight".
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