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38054403324 = 223272206310457
BaseRepresentation
bin100011011100001110…
…000001110011111100
310122020002001222121100
4203130032001303330
51110413411401244
625252033533100
72515011043200
oct433416016374
9118202058540
1038054403324
111515879a503
127460414190
133785c75922
141bb0034b00
15ecacbdb69
hex8dc381cfc

38054403324 has 108 divisors (see below), whose sum is σ = 111963013344. Its totient is φ = 10866377088.

The previous prime is 38054403313. The next prime is 38054403329. The reversal of 38054403324 is 42330445083.

38054403324 is a `hidden beast` number, since 3 + 80 + 544 + 0 + 3 + 32 + 4 = 666.

38054403324 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×380544033242 (a number of 22 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (38054403329) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 3633904 + ... + 3644360.

It is an arithmetic number, because the mean of its divisors is an integer number (1036694568).

Almost surely, 238054403324 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 38054403324, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (55981506672).

38054403324 is an abundant number, since it is smaller than the sum of its proper divisors (73908610020).

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

38054403324 is a wasteful number, since it uses less digits than its factorization.

38054403324 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12544 (or 12532 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 38054403324 in words is "thirty-eight billion, fifty-four million, four hundred three thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 441 588 882 1764 2063 4126 6189 8252 10457 12378 14441 18567 20914 24756 28882 31371 37134 41828 43323 57764 62742 73199 74268 86646 94113 101087 125484 129969 146398 173292 188226 202174 219597 259938 292796 303261 376452 404348 439194 512393 519876 606522 658791 878388 909783 1024786 1213044 1317582 1537179 1819566 2049572 2635164 3074358 3639132 4611537 6148716 9223074 18446148 21572791 43145582 64718373 86291164 129436746 151009537 194155119 258873492 302019074 388310238 453028611 604038148 776620476 906057222 1057066759 1359085833 1812114444 2114133518 2718171666 3171200277 4228267036 5436343332 6342400554 9513600831 12684801108 19027201662 38054403324