Base | Representation |
---|---|
bin | 10001100101000110001110… |
… | …10101011110110000111110 |
3 | 12001212200011222011210000000 |
4 | 20302203013111132300332 |
5 | 20031333141242223042 |
6 | 214115132445415130 |
7 | 11066644341652362 |
oct | 1062430725366076 |
9 | 161780158153000 |
10 | 38658049961022 |
11 | 11354872431788 |
12 | 440423286a4a6 |
13 | 187559141716b |
14 | 9790b97912a2 |
15 | 4708b801a74c |
hex | 2328c755ec3e |
38658049961022 has 256 divisors, whose sum is σ = 93214860963840. Its totient is φ = 11992410650880.
The previous prime is 38658049961021. The next prime is 38658049961029. The reversal of 38658049961022 is 22016994085683.
38658049961022 is a `hidden beast` number, since 3 + 8 + 6 + 5 + 8 + 0 + 4 + 9 + 9 + 610 + 2 + 2 = 666.
It is a super-3 number, since 3×386580499610223 (a number of 42 digits) contains 333 as substring.
It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (38658049961021) by changing a digit.
It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1538493823 + ... + 1538518949.
It is an arithmetic number, because the mean of its divisors is an integer number (364120550640).
Almost surely, 238658049961022 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 38658049961022, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (46607430481920).
38658049961022 is an abundant number, since it is smaller than the sum of its proper divisors (54556811002818).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
38658049961022 is a wasteful number, since it uses less digits than its factorization.
38658049961022 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 25587 (or 25569 counting only the distinct ones).
The product of its (nonzero) digits is 44789760, while the sum is 63.
The spelling of 38658049961022 in words is "thirty-eight trillion, six hundred fifty-eight billion, forty-nine million, nine hundred sixty-one thousand, twenty-two".
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