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38924129304 = 233223103228203
BaseRepresentation
bin100100010000000011…
…110001010000011000
310201110200121122100200
4210100003301100120
51114204034114204
625514223102200
72545401432354
oct442003612030
9121420548320
1038924129304
1115564724505
127663741960
1338941cc698
141c53750464
15102c31a539
hex9100f1418

38924129304 has 96 divisors (see below), whose sum is σ = 111071450880. Its totient is φ = 12290046912.

The previous prime is 38924129297. The next prime is 38924129329. The reversal of 38924129304 is 40392142983.

38924129304 is a `hidden beast` number, since 3 + 89 + 241 + 29 + 304 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 38924129304.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 56467 + ... + 284669.

It is an arithmetic number, because the mean of its divisors is an integer number (1156994280).

Almost surely, 238924129304 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 38924129304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55535725440).

38924129304 is an abundant number, since it is smaller than the sum of its proper divisors (72147321576).

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

38924129304 is a wasteful number, since it uses less digits than its factorization.

38924129304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228341 (or 228334 counting only the distinct ones).

The product of its (nonzero) digits is 373248, while the sum is 45.

The spelling of 38924129304 in words is "thirty-eight billion, nine hundred twenty-four million, one hundred twenty-nine thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 18 23 24 36 46 69 72 92 103 138 184 206 207 276 309 412 414 552 618 824 828 927 1236 1656 1854 2369 2472 3708 4738 7107 7416 9476 14214 18952 21321 28428 42642 56856 85284 170568 228203 456406 684609 912812 1369218 1825624 2053827 2738436 4107654 5248669 5476872 8215308 10497338 15746007 16430616 20994676 23504909 31492014 41989352 47009818 47238021 62984028 70514727 94019636 94476042 125968056 141029454 188039272 188952084 211544181 282058908 377904168 423088362 540612907 564117816 846176724 1081225814 1621838721 1692353448 2162451628 3243677442 4324903256 4865516163 6487354884 9731032326 12974709768 19462064652 38924129304