| Base | Representation |
|---|---|
| bin | 100100001110000000… |
| … | …110010011010000000 |
| 3 | 10201101022000012000100 |
| 4 | 210032000302122000 |
| 5 | 1114121241340102 |
| 6 | 25510555122400 |
| 7 | 2544503534100 |
| oct | 441600623200 |
| 9 | 121338005010 |
| 10 | 38889793152 |
| 11 | 15547302221 |
| 12 | 7654143400 |
| 13 | 388a069b32 |
| 14 | 1c4cd73200 |
| 15 | 10292d6a1c |
| hex | 90e032680 |
38889793152 has 288 divisors, whose sum is σ = 131660064900. Its totient is φ = 10985103360.
The previous prime is 38889793139. The next prime is 38889793153. The reversal of 38889793152 is 25139798883.
It can be written as a sum of positive squares in 2 ways, for example, as 34963016256 + 3926776896 = 186984^2 + 62664^2 .
It is a tau number, because it is divible by the number of its divisors (288).
It is a super-2 number, since 2×388897931522 (a number of 22 digits) contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (63).
It is a self number, because there is not a number n which added to its sum of digits gives 38889793152.
It is not an unprimeable number, because it can be changed into a prime (38889793153) by changing a digit.
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 35 ways as a sum of consecutive naturals, for example, 5020002 + ... + 5027742.
Almost surely, 238889793152 is an apocalyptic number.
38889793152 is a gapful number since it is divisible by the number (32) 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 38889793152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65830032450).
38889793152 is an abundant number, since it is smaller than the sum of its proper divisors (92770271748).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38889793152 is a wasteful number, since it uses less digits than its factorization.
38889793152 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 7864 (or 7842 counting only the distinct ones).
The product of its digits is 26127360, while the sum is 63.
The spelling of 38889793152 in words is "thirty-eight billion, eight hundred eighty-nine million, seven hundred ninety-three thousand, one hundred fifty-two".
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