Base | Representation |
---|---|
bin | 100011001110110111… |
… | …001011000111100000 |
3 | 10121122110101210001101 |
4 | 203032313023013200 |
5 | 1104434024331240 |
6 | 25213510444144 |
7 | 2506320213040 |
oct | 431667130740 |
9 | 117573353041 |
10 | 37830308320 |
11 | 1505324a622 |
12 | 73b9363654 |
13 | 374b70332c |
14 | 1b8c37d720 |
15 | eb62a539a |
hex | 8cedcb1e0 |
37830308320 has 96 divisors (see below), whose sum is σ = 102475473408. Its totient is φ = 12928025088.
The previous prime is 37830308287. The next prime is 37830308323. The reversal of 37830308320 is 2380303873.
37830308320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a super-2 number, since 2×378303083202 (a number of 22 digits) contains 22 as substring.
It is a self number, because there is not a number n which added to its sum of digits gives 37830308320.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (37830308323) by changing a digit.
It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 288829 + ... + 398851.
It is an arithmetic number, because the mean of its divisors is an integer number (1067452848).
Almost surely, 237830308320 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 37830308320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (51237736704).
37830308320 is an abundant number, since it is smaller than the sum of its proper divisors (64645165088).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
37830308320 is a wasteful number, since it uses less digits than its factorization.
37830308320 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 110352 (or 110344 counting only the distinct ones).
The product of its (nonzero) digits is 72576, while the sum is 37.
The spelling of 37830308320 in words is "thirty-seven billion, eight hundred thirty million, three hundred eight thousand, three hundred twenty".
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