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38183395168 = 2523894631259
BaseRepresentation
bin100011100011111010…
…000101111101100000
310122120001210110011001
4203203322011331200
51111144422121133
625312522401344
72521135334542
oct434372057540
9118501713131
1038183395168
1115214592a36
127497660254
1337a68ca569
141bc3211692
15ed729d87d
hex8e3e85f60

38183395168 has 96 divisors (see below), whose sum is σ = 79557811200. Its totient is φ = 18003127296.

The previous prime is 38183395097. The next prime is 38183395181. The reversal of 38183395168 is 86159338183.

38183395168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30327723 + ... + 30328981.

It is an arithmetic number, because the mean of its divisors is an integer number (828727200).

Almost surely, 238183395168 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 38183395168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (39778905600).

38183395168 is an abundant number, since it is smaller than the sum of its proper divisors (41374416032).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

38183395168 is a wasteful number, since it uses less digits than its factorization.

38183395168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1844 (or 1836 counting only the distinct ones).

The product of its digits is 3732480, while the sum is 55.

The spelling of 38183395168 in words is "thirty-eight billion, one hundred eighty-three million, three hundred ninety-five thousand, one hundred sixty-eight".

Divisors: 1 2 4 8 16 23 32 46 89 92 178 184 356 368 463 712 736 926 1259 1424 1852 2047 2518 2848 3704 4094 5036 7408 8188 10072 10649 14816 16376 20144 21298 28957 32752 40288 41207 42596 57914 65504 82414 85192 112051 115828 164828 170384 224102 231656 329656 340768 448204 463312 582917 659312 896408 926624 947761 1165834 1318624 1792816 1895522 2331668 2577173 3585632 3791044 4663336 5154346 7582088 9326672 10308692 13407091 15164176 18653344 20617384 26814182 30328352 41234768 51879613 53628364 82469536 103759226 107256728 207518452 214513456 415036904 429026912 830073808 1193231099 1660147616 2386462198 4772924396 9545848792 19091697584 38183395168