Base | Representation |
---|---|
bin | 100100010010000010… |
… | …011111110000000000 |
3 | 10201120000010102102200 |
4 | 210102002133300000 |
5 | 1114241040144023 |
6 | 25521411113200 |
7 | 2546254003362 |
oct | 442202376000 |
9 | 121500112380 |
10 | 38957349888 |
11 | 15581454636 |
12 | 76728a2800 |
13 | 389b061532 |
14 | 1c57d1ad32 |
15 | 10301cd743 |
hex | 91209fc00 |
38957349888 has 132 divisors (see below), whose sum is σ = 112692262800. Its totient is φ = 12962267136.
The previous prime is 38957349887. The next prime is 38957349911. The reversal of 38957349888 is 88894375983.
38957349888 is a `hidden beast` number, since 3 + 8 + 9 + 57 + 3 + 498 + 88 = 666.
It is a super-2 number, since 2×389573498882 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (72).
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38957349887) by changing a digit.
It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5516856 + ... + 5523912.
Almost surely, 238957349888 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 38957349888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56346131400).
38957349888 is an abundant number, since it is smaller than the sum of its proper divisors (73734912912).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38957349888 is a wasteful number, since it uses less digits than its factorization.
38957349888 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 7682 (or 7661 counting only the distinct ones).
The product of its digits is 418037760, while the sum is 72.
The spelling of 38957349888 in words is "thirty-eight billion, nine hundred fifty-seven million, three hundred forty-nine thousand, eight hundred eighty-eight".
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