Base | Representation |
---|---|
bin | 100011101000110001… |
… | …011000101010111110 |
3 | 10122202202100100000000 |
4 | 203220301120222332 |
5 | 1111331314423330 |
6 | 25324555415130 |
7 | 2523146056440 |
oct | 435061305276 |
9 | 118682310000 |
10 | 38264998590 |
11 | 15256659885 |
12 | 74baa544a6 |
13 | 37ba79c700 |
14 | 1bcddb4490 |
15 | ede51c560 |
hex | 8e8c58abe |
38264998590 has 864 divisors, whose sum is σ = 140038217280. Its totient is φ = 7336562688.
The previous prime is 38264998589. The next prime is 38264998591. The reversal of 38264998590 is 9589946283.
38264998590 is a `hidden beast` number, since 38 + 2 + 6 + 4 + 9 + 9 + 8 + 590 = 666.
38264998590 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is an interprime number because it is at equal distance from previous prime (38264998589) and next prime (38264998591).
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38264998591) by changing a digit.
It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 1319482696 + ... + 1319482724.
It is an arithmetic number, because the mean of its divisors is an integer number (162081270).
Almost surely, 238264998590 is an apocalyptic number.
38264998590 is a gapful number since it is divisible by the number (30) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 38264998590, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (70019108640).
38264998590 is an abundant number, since it is smaller than the sum of its proper divisors (101773218690).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38264998590 is a wasteful number, since it uses less digits than its factorization.
38264998590 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 110 (or 76 counting only the distinct ones).
The product of its (nonzero) digits is 33592320, while the sum is 63.
The spelling of 38264998590 in words is "thirty-eight billion, two hundred sixty-four million, nine hundred ninety-eight thousand, five hundred ninety".
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