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38637540216 = 23331157728183
BaseRepresentation
bin100011111110111110…
…100001001101111000
310200201201100102001000
4203332332201031320
51113112202241331
625425544325000
72535321446562
oct437676411570
9120651312030
1038637540216
111542797a920
1275a3773760
133849a18b42
141c2766c332
1510120aa0e6
hex8fefa1378

38637540216 has 128 divisors (see below), whose sum is σ = 117290534400. Its totient is φ = 11687639040.

The previous prime is 38637540199. The next prime is 38637540241. The reversal of 38637540216 is 61204573683.

38637540216 is a `hidden beast` number, since 3 + 8 + 637 + 5 + 4 + 0 + 2 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1356861 + ... + 1385043.

It is an arithmetic number, because the mean of its divisors is an integer number (916332300).

Almost surely, 238637540216 is an apocalyptic number.

38637540216 is a gapful number since it is divisible by the number (36) 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 38637540216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (58645267200).

38637540216 is an abundant number, since it is smaller than the sum of its proper divisors (78652994184).

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

38637540216 is a wasteful number, since it uses less digits than its factorization.

38637540216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28786 (or 28776 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 45.

The spelling of 38637540216 in words is "thirty-eight billion, six hundred thirty-seven million, five hundred forty thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 8 9 11 12 18 22 24 27 33 36 44 54 66 72 88 99 108 132 198 216 264 297 396 577 594 792 1154 1188 1731 2308 2376 3462 4616 5193 6347 6924 10386 12694 13848 15579 19041 20772 25388 28183 31158 38082 41544 50776 56366 57123 62316 76164 84549 112732 114246 124632 152328 169098 171369 225464 228492 253647 310013 338196 342738 456984 507294 620026 676392 685476 760941 930039 1014588 1240052 1370952 1521882 1860078 2029176 2480104 2790117 3043764 3720156 5580234 6087528 7440312 8370351 11160468 16261591 16740702 22320936 32523182 33481404 48784773 65046364 66962808 97569546 130092728 146354319 178877501 195139092 292708638 357755002 390278184 439062957 536632503 585417276 715510004 878125914 1073265006 1170834552 1431020008 1609897509 1756251828 2146530012 3219795018 3512503656 4293060024 4829692527 6439590036 9659385054 12879180072 19318770108 38637540216